input: Implement bubble sort on -17, -77, 82, -3, 37, -26, 27, -91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-17, -77, 82, -3, 37, -26, 27, -91]

Pass 1:
  Compare -17 and -77
  Swap -17 and -77
  List after swap: [-77, -17, 82, -3, 37, -26, 27, -91]
  Compare -17 and 82
  No swap needed
  Compare 82 and -3
  Swap 82 and -3
  List after swap: [-77, -17, -3, 82, 37, -26, 27, -91]
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-77, -17, -3, 37, 82, -26, 27, -91]
  Compare 82 and -26
  Swap 82 and -26
  List after swap: [-77, -17, -3, 37, -26, 82, 27, -91]
  Compare 82 and 27
  Swap 82 and 27
  List after swap: [-77, -17, -3, 37, -26, 27, 82, -91]
  Compare 82 and -91
  Swap 82 and -91
  List after swap: [-77, -17, -3, 37, -26, 27, -91, 82]

Pass 2:
  Compare -77 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and 37
  No swap needed
  Compare 37 and -26
  Swap 37 and -26
  List after swap: [-77, -17, -3, -26, 37, 27, -91, 82]
  Compare 37 and 27
  Swap 37 and 27
  List after swap: [-77, -17, -3, -26, 27, 37, -91, 82]
  Compare 37 and -91
  Swap 37 and -91
  List after swap: [-77, -17, -3, -26, 27, -91, 37, 82]

Pass 3:
  Compare -77 and -17
  No swap needed
  Compare -17 and -3
  No swap needed
  Compare -3 and -26
  Swap -3 and -26
  List after swap: [-77, -17, -26, -3, 27, -91, 37, 82]
  Compare -3 and 27
  No swap needed
  Compare 27 and -91
  Swap 27 and -91
  List after swap: [-77, -17, -26, -3, -91, 27, 37, 82]

Pass 4:
  Compare -77 and -17
  No swap needed
  Compare -17 and -26
  Swap -17 and -26
  List after swap: [-77, -26, -17, -3, -91, 27, 37, 82]
  Compare -17 and -3
  No swap needed
  Compare -3 and -91
  Swap -3 and -91
  List after swap: [-77, -26, -17, -91, -3, 27, 37, 82]

Pass 5:
  Compare -77 and -26
  No swap needed
  Compare -26 and -17
  No swap needed
  Compare -17 and -91
  Swap -17 and -91
  List after swap: [-77, -26, -91, -17, -3, 27, 37, 82]

Pass 6:
  Compare -77 and -26
  No swap needed
  Compare -26 and -91
  Swap -26 and -91
  List after swap: [-77, -91, -26, -17, -3, 27, 37, 82]

Pass 7:
  Compare -77 and -91
  Swap -77 and -91
  List after swap: [-91, -77, -26, -17, -3, 27, 37, 82]

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

Final sorted list: [-91, -77, -26, -17, -3, 27, 37, 82]
</think>

<response>-91, -77, -26, -17, -3, 27, 37, 82</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -54, -94, -35, 28, 21, -98, -55, 48.

output:
<think>
Initial list: [-54, -94, -35, 28, 21, -98, -55, 48]

Pass 1:
  Compare -54 and -94
  Swap -54 and -94
  List after swap: [-94, -54, -35, 28, 21, -98, -55, 48]
  Compare -54 and -35
  No swap needed
  Compare -35 and 28
  No swap needed
  Compare 28 and 21
  Swap 28 and 21
  List after swap: [-94, -54, -35, 21, 28, -98, -55, 48]
  Compare 28 and -98
  Swap 28 and -98
  List after swap: [-94, -54, -35, 21, -98, 28, -55, 48]
  Compare 28 and -55
  Swap 28 and -55
  List after swap: [-94, -54, -35, 21, -98, -55, 28, 48]
  Compare 28 and 48
  No swap needed

Pass 2:
  Compare -94 and -54
  No swap needed
  Compare -54 and -35
  No swap needed
  Compare -35 and 21
  No swap needed
  Compare 21 and -98
  Swap 21 and -98
  List after swap: [-94, -54, -35, -98, 21, -55, 28, 48]
  Compare 21 and -55
  Swap 21 and -55
  List after swap: [-94, -54, -35, -98, -55, 21, 28, 48]
  Compare 21 and 28
  No swap needed

Pass 3:
  Compare -94 and -54
  No swap needed
  Compare -54 and -35
  No swap needed
  Compare -35 and -98
  Swap -35 and -98
  List after swap: [-94, -54, -98, -35, -55, 21, 28, 48]
  Compare -35 and -55
  Swap -35 and -55
  List after swap: [-94, -54, -98, -55, -35, 21, 28, 48]
  Compare -35 and 21
  No swap needed

Pass 4:
  Compare -94 and -54
  No swap needed
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-94, -98, -54, -55, -35, 21, 28, 48]
  Compare -54 and -55
  Swap -54 and -55
  List after swap: [-94, -98, -55, -54, -35, 21, 28, 48]
  Compare -54 and -35
  No swap needed

Pass 5:
  Compare -94 and -98
  Swap -94 and -98
  List after swap: [-98, -94, -55, -54, -35, 21, 28, 48]
  Compare -94 and -55
  No swap needed
  Compare -55 and -54
  No swap needed

Pass 6:
  Compare -98 and -94
  No swap needed
  Compare -94 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -94, -55, -54, -35, 21, 28, 48]
</think>

<response>-98, -94, -55, -54, -35, 21, 28, 48</response>


input: Sort these integers -58, 72, -38, 86, 2, -51, -100, -26, -81, 89 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-58, 72, -38, 86, 2, -51, -100, -26, -81, 89]

Pass 1:
  Compare -58 and 72
  No swap needed
  Compare 72 and -38
  Swap 72 and -38
  List after swap: [-58, -38, 72, 86, 2, -51, -100, -26, -81, 89]
  Compare 72 and 86
  No swap needed
  Compare 86 and 2
  Swap 86 and 2
  List after swap: [-58, -38, 72, 2, 86, -51, -100, -26, -81, 89]
  Compare 86 and -51
  Swap 86 and -51
  List after swap: [-58, -38, 72, 2, -51, 86, -100, -26, -81, 89]
  Compare 86 and -100
  Swap 86 and -100
  List after swap: [-58, -38, 72, 2, -51, -100, 86, -26, -81, 89]
  Compare 86 and -26
  Swap 86 and -26
  List after swap: [-58, -38, 72, 2, -51, -100, -26, 86, -81, 89]
  Compare 86 and -81
  Swap 86 and -81
  List after swap: [-58, -38, 72, 2, -51, -100, -26, -81, 86, 89]
  Compare 86 and 89
  No swap needed

Pass 2:
  Compare -58 and -38
  No swap needed
  Compare -38 and 72
  No swap needed
  Compare 72 and 2
  Swap 72 and 2
  List after swap: [-58, -38, 2, 72, -51, -100, -26, -81, 86, 89]
  Compare 72 and -51
  Swap 72 and -51
  List after swap: [-58, -38, 2, -51, 72, -100, -26, -81, 86, 89]
  Compare 72 and -100
  Swap 72 and -100
  List after swap: [-58, -38, 2, -51, -100, 72, -26, -81, 86, 89]
  Compare 72 and -26
  Swap 72 and -26
  List after swap: [-58, -38, 2, -51, -100, -26, 72, -81, 86, 89]
  Compare 72 and -81
  Swap 72 and -81
  List after swap: [-58, -38, 2, -51, -100, -26, -81, 72, 86, 89]
  Compare 72 and 86
  No swap needed

Pass 3:
  Compare -58 and -38
  No swap needed
  Compare -38 and 2
  No swap needed
  Compare 2 and -51
  Swap 2 and -51
  List after swap: [-58, -38, -51, 2, -100, -26, -81, 72, 86, 89]
  Compare 2 and -100
  Swap 2 and -100
  List after swap: [-58, -38, -51, -100, 2, -26, -81, 72, 86, 89]
  Compare 2 and -26
  Swap 2 and -26
  List after swap: [-58, -38, -51, -100, -26, 2, -81, 72, 86, 89]
  Compare 2 and -81
  Swap 2 and -81
  List after swap: [-58, -38, -51, -100, -26, -81, 2, 72, 86, 89]
  Compare 2 and 72
  No swap needed

Pass 4:
  Compare -58 and -38
  No swap needed
  Compare -38 and -51
  Swap -38 and -51
  List after swap: [-58, -51, -38, -100, -26, -81, 2, 72, 86, 89]
  Compare -38 and -100
  Swap -38 and -100
  List after swap: [-58, -51, -100, -38, -26, -81, 2, 72, 86, 89]
  Compare -38 and -26
  No swap needed
  Compare -26 and -81
  Swap -26 and -81
  List after swap: [-58, -51, -100, -38, -81, -26, 2, 72, 86, 89]
  Compare -26 and 2
  No swap needed

Pass 5:
  Compare -58 and -51
  No swap needed
  Compare -51 and -100
  Swap -51 and -100
  List after swap: [-58, -100, -51, -38, -81, -26, 2, 72, 86, 89]
  Compare -51 and -38
  No swap needed
  Compare -38 and -81
  Swap -38 and -81
  List after swap: [-58, -100, -51, -81, -38, -26, 2, 72, 86, 89]
  Compare -38 and -26
  No swap needed

Pass 6:
  Compare -58 and -100
  Swap -58 and -100
  List after swap: [-100, -58, -51, -81, -38, -26, 2, 72, 86, 89]
  Compare -58 and -51
  No swap needed
  Compare -51 and -81
  Swap -51 and -81
  List after swap: [-100, -58, -81, -51, -38, -26, 2, 72, 86, 89]
  Compare -51 and -38
  No swap needed

Pass 7:
  Compare -100 and -58
  No swap needed
  Compare -58 and -81
  Swap -58 and -81
  List after swap: [-100, -81, -58, -51, -38, -26, 2, 72, 86, 89]
  Compare -58 and -51
  No swap needed

Pass 8:
  Compare -100 and -81
  No swap needed
  Compare -81 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -81, -58, -51, -38, -26, 2, 72, 86, 89]
</think>

<response>-100, -81, -58, -51, -38, -26, 2, 72, 86, 89</response>


input: Implement bubble sort on -96, 81, -29, 36, -97, -23 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-96, 81, -29, 36, -97, -23]

Pass 1:
  Compare -96 and 81
  No swap needed
  Compare 81 and -29
  Swap 81 and -29
  List after swap: [-96, -29, 81, 36, -97, -23]
  Compare 81 and 36
  Swap 81 and 36
  List after swap: [-96, -29, 36, 81, -97, -23]
  Compare 81 and -97
  Swap 81 and -97
  List after swap: [-96, -29, 36, -97, 81, -23]
  Compare 81 and -23
  Swap 81 and -23
  List after swap: [-96, -29, 36, -97, -23, 81]

Pass 2:
  Compare -96 and -29
  No swap needed
  Compare -29 and 36
  No swap needed
  Compare 36 and -97
  Swap 36 and -97
  List after swap: [-96, -29, -97, 36, -23, 81]
  Compare 36 and -23
  Swap 36 and -23
  List after swap: [-96, -29, -97, -23, 36, 81]

Pass 3:
  Compare -96 and -29
  No swap needed
  Compare -29 and -97
  Swap -29 and -97
  List after swap: [-96, -97, -29, -23, 36, 81]
  Compare -29 and -23
  No swap needed

Pass 4:
  Compare -96 and -97
  Swap -96 and -97
  List after swap: [-97, -96, -29, -23, 36, 81]
  Compare -96 and -29
  No swap needed

Pass 5:
  Compare -97 and -96
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -96, -29, -23, 36, 81]
</think>

<response>-97, -96, -29, -23, 36, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 44, 88, 25, -40, -79, -15, 19, -27.

output:
<think>
Initial list: [44, 88, 25, -40, -79, -15, 19, -27]

Pass 1:
  Compare 44 and 88
  No swap needed
  Compare 88 and 25
  Swap 88 and 25
  List after swap: [44, 25, 88, -40, -79, -15, 19, -27]
  Compare 88 and -40
  Swap 88 and -40
  List after swap: [44, 25, -40, 88, -79, -15, 19, -27]
  Compare 88 and -79
  Swap 88 and -79
  List after swap: [44, 25, -40, -79, 88, -15, 19, -27]
  Compare 88 and -15
  Swap 88 and -15
  List after swap: [44, 25, -40, -79, -15, 88, 19, -27]
  Compare 88 and 19
  Swap 88 and 19
  List after swap: [44, 25, -40, -79, -15, 19, 88, -27]
  Compare 88 and -27
  Swap 88 and -27
  List after swap: [44, 25, -40, -79, -15, 19, -27, 88]

Pass 2:
  Compare 44 and 25
  Swap 44 and 25
  List after swap: [25, 44, -40, -79, -15, 19, -27, 88]
  Compare 44 and -40
  Swap 44 and -40
  List after swap: [25, -40, 44, -79, -15, 19, -27, 88]
  Compare 44 and -79
  Swap 44 and -79
  List after swap: [25, -40, -79, 44, -15, 19, -27, 88]
  Compare 44 and -15
  Swap 44 and -15
  List after swap: [25, -40, -79, -15, 44, 19, -27, 88]
  Compare 44 and 19
  Swap 44 and 19
  List after swap: [25, -40, -79, -15, 19, 44, -27, 88]
  Compare 44 and -27
  Swap 44 and -27
  List after swap: [25, -40, -79, -15, 19, -27, 44, 88]

Pass 3:
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [-40, 25, -79, -15, 19, -27, 44, 88]
  Compare 25 and -79
  Swap 25 and -79
  List after swap: [-40, -79, 25, -15, 19, -27, 44, 88]
  Compare 25 and -15
  Swap 25 and -15
  List after swap: [-40, -79, -15, 25, 19, -27, 44, 88]
  Compare 25 and 19
  Swap 25 and 19
  List after swap: [-40, -79, -15, 19, 25, -27, 44, 88]
  Compare 25 and -27
  Swap 25 and -27
  List after swap: [-40, -79, -15, 19, -27, 25, 44, 88]

Pass 4:
  Compare -40 and -79
  Swap -40 and -79
  List after swap: [-79, -40, -15, 19, -27, 25, 44, 88]
  Compare -40 and -15
  No swap needed
  Compare -15 and 19
  No swap needed
  Compare 19 and -27
  Swap 19 and -27
  List after swap: [-79, -40, -15, -27, 19, 25, 44, 88]

Pass 5:
  Compare -79 and -40
  No swap needed
  Compare -40 and -15
  No swap needed
  Compare -15 and -27
  Swap -15 and -27
  List after swap: [-79, -40, -27, -15, 19, 25, 44, 88]

Pass 6:
  Compare -79 and -40
  No swap needed
  Compare -40 and -27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -40, -27, -15, 19, 25, 44, 88]
</think>

<response>-79, -40, -27, -15, 19, 25, 44, 88</response>


input: Sort the list -2, 71 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-2, 71]

Pass 1:
  Compare -2 and 71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 71]
</think>

<response>-2, 71</response>


input: Use the bubble sort technique to reorder -43, 37, 22, 57, -47, 0, 95 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-43, 37, 22, 57, -47, 0, 95]

Pass 1:
  Compare -43 and 37
  No swap needed
  Compare 37 and 22
  Swap 37 and 22
  List after swap: [-43, 22, 37, 57, -47, 0, 95]
  Compare 37 and 57
  No swap needed
  Compare 57 and -47
  Swap 57 and -47
  List after swap: [-43, 22, 37, -47, 57, 0, 95]
  Compare 57 and 0
  Swap 57 and 0
  List after swap: [-43, 22, 37, -47, 0, 57, 95]
  Compare 57 and 95
  No swap needed

Pass 2:
  Compare -43 and 22
  No swap needed
  Compare 22 and 37
  No swap needed
  Compare 37 and -47
  Swap 37 and -47
  List after swap: [-43, 22, -47, 37, 0, 57, 95]
  Compare 37 and 0
  Swap 37 and 0
  List after swap: [-43, 22, -47, 0, 37, 57, 95]
  Compare 37 and 57
  No swap needed

Pass 3:
  Compare -43 and 22
  No swap needed
  Compare 22 and -47
  Swap 22 and -47
  List after swap: [-43, -47, 22, 0, 37, 57, 95]
  Compare 22 and 0
  Swap 22 and 0
  List after swap: [-43, -47, 0, 22, 37, 57, 95]
  Compare 22 and 37
  No swap needed

Pass 4:
  Compare -43 and -47
  Swap -43 and -47
  List after swap: [-47, -43, 0, 22, 37, 57, 95]
  Compare -43 and 0
  No swap needed
  Compare 0 and 22
  No swap needed

Pass 5:
  Compare -47 and -43
  No swap needed
  Compare -43 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -43, 0, 22, 37, 57, 95]
</think>

<response>-47, -43, 0, 22, 37, 57, 95</response>


input: Using the bubble sort method, sort -27, 98, 58, 63, -70, 61, 20, 23, 47, -1 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-27, 98, 58, 63, -70, 61, 20, 23, 47, -1]

Pass 1:
  Compare -27 and 98
  No swap needed
  Compare 98 and 58
  Swap 98 and 58
  List after swap: [-27, 58, 98, 63, -70, 61, 20, 23, 47, -1]
  Compare 98 and 63
  Swap 98 and 63
  List after swap: [-27, 58, 63, 98, -70, 61, 20, 23, 47, -1]
  Compare 98 and -70
  Swap 98 and -70
  List after swap: [-27, 58, 63, -70, 98, 61, 20, 23, 47, -1]
  Compare 98 and 61
  Swap 98 and 61
  List after swap: [-27, 58, 63, -70, 61, 98, 20, 23, 47, -1]
  Compare 98 and 20
  Swap 98 and 20
  List after swap: [-27, 58, 63, -70, 61, 20, 98, 23, 47, -1]
  Compare 98 and 23
  Swap 98 and 23
  List after swap: [-27, 58, 63, -70, 61, 20, 23, 98, 47, -1]
  Compare 98 and 47
  Swap 98 and 47
  List after swap: [-27, 58, 63, -70, 61, 20, 23, 47, 98, -1]
  Compare 98 and -1
  Swap 98 and -1
  List after swap: [-27, 58, 63, -70, 61, 20, 23, 47, -1, 98]

Pass 2:
  Compare -27 and 58
  No swap needed
  Compare 58 and 63
  No swap needed
  Compare 63 and -70
  Swap 63 and -70
  List after swap: [-27, 58, -70, 63, 61, 20, 23, 47, -1, 98]
  Compare 63 and 61
  Swap 63 and 61
  List after swap: [-27, 58, -70, 61, 63, 20, 23, 47, -1, 98]
  Compare 63 and 20
  Swap 63 and 20
  List after swap: [-27, 58, -70, 61, 20, 63, 23, 47, -1, 98]
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [-27, 58, -70, 61, 20, 23, 63, 47, -1, 98]
  Compare 63 and 47
  Swap 63 and 47
  List after swap: [-27, 58, -70, 61, 20, 23, 47, 63, -1, 98]
  Compare 63 and -1
  Swap 63 and -1
  List after swap: [-27, 58, -70, 61, 20, 23, 47, -1, 63, 98]

Pass 3:
  Compare -27 and 58
  No swap needed
  Compare 58 and -70
  Swap 58 and -70
  List after swap: [-27, -70, 58, 61, 20, 23, 47, -1, 63, 98]
  Compare 58 and 61
  No swap needed
  Compare 61 and 20
  Swap 61 and 20
  List after swap: [-27, -70, 58, 20, 61, 23, 47, -1, 63, 98]
  Compare 61 and 23
  Swap 61 and 23
  List after swap: [-27, -70, 58, 20, 23, 61, 47, -1, 63, 98]
  Compare 61 and 47
  Swap 61 and 47
  List after swap: [-27, -70, 58, 20, 23, 47, 61, -1, 63, 98]
  Compare 61 and -1
  Swap 61 and -1
  List after swap: [-27, -70, 58, 20, 23, 47, -1, 61, 63, 98]

Pass 4:
  Compare -27 and -70
  Swap -27 and -70
  List after swap: [-70, -27, 58, 20, 23, 47, -1, 61, 63, 98]
  Compare -27 and 58
  No swap needed
  Compare 58 and 20
  Swap 58 and 20
  List after swap: [-70, -27, 20, 58, 23, 47, -1, 61, 63, 98]
  Compare 58 and 23
  Swap 58 and 23
  List after swap: [-70, -27, 20, 23, 58, 47, -1, 61, 63, 98]
  Compare 58 and 47
  Swap 58 and 47
  List after swap: [-70, -27, 20, 23, 47, 58, -1, 61, 63, 98]
  Compare 58 and -1
  Swap 58 and -1
  List after swap: [-70, -27, 20, 23, 47, -1, 58, 61, 63, 98]

Pass 5:
  Compare -70 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and 47
  No swap needed
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [-70, -27, 20, 23, -1, 47, 58, 61, 63, 98]

Pass 6:
  Compare -70 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and -1
  Swap 23 and -1
  List after swap: [-70, -27, 20, -1, 23, 47, 58, 61, 63, 98]

Pass 7:
  Compare -70 and -27
  No swap needed
  Compare -27 and 20
  No swap needed
  Compare 20 and -1
  Swap 20 and -1
  List after swap: [-70, -27, -1, 20, 23, 47, 58, 61, 63, 98]

Pass 8:
  Compare -70 and -27
  No swap needed
  Compare -27 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -27, -1, 20, 23, 47, 58, 61, 63, 98]
</think>

<response>-70, -27, -1, 20, 23, 47, 58, 61, 63, 98</response>


input: Carry out the bubble sort algorithm on 68, 77, -96, 20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [68, 77, -96, 20]

Pass 1:
  Compare 68 and 77
  No swap needed
  Compare 77 and -96
  Swap 77 and -96
  List after swap: [68, -96, 77, 20]
  Compare 77 and 20
  Swap 77 and 20
  List after swap: [68, -96, 20, 77]

Pass 2:
  Compare 68 and -96
  Swap 68 and -96
  List after swap: [-96, 68, 20, 77]
  Compare 68 and 20
  Swap 68 and 20
  List after swap: [-96, 20, 68, 77]

Pass 3:
  Compare -96 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, 20, 68, 77]
</think>

<response>-96, 20, 68, 77</response>


input: Use the bubble sort technique to reorder -37, 2, -54, -7, -3, -34, 40, 75, 41, -60 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, 2, -54, -7, -3, -34, 40, 75, 41, -60]

Pass 1:
  Compare -37 and 2
  No swap needed
  Compare 2 and -54
  Swap 2 and -54
  List after swap: [-37, -54, 2, -7, -3, -34, 40, 75, 41, -60]
  Compare 2 and -7
  Swap 2 and -7
  List after swap: [-37, -54, -7, 2, -3, -34, 40, 75, 41, -60]
  Compare 2 and -3
  Swap 2 and -3
  List after swap: [-37, -54, -7, -3, 2, -34, 40, 75, 41, -60]
  Compare 2 and -34
  Swap 2 and -34
  List after swap: [-37, -54, -7, -3, -34, 2, 40, 75, 41, -60]
  Compare 2 and 40
  No swap needed
  Compare 40 and 75
  No swap needed
  Compare 75 and 41
  Swap 75 and 41
  List after swap: [-37, -54, -7, -3, -34, 2, 40, 41, 75, -60]
  Compare 75 and -60
  Swap 75 and -60
  List after swap: [-37, -54, -7, -3, -34, 2, 40, 41, -60, 75]

Pass 2:
  Compare -37 and -54
  Swap -37 and -54
  List after swap: [-54, -37, -7, -3, -34, 2, 40, 41, -60, 75]
  Compare -37 and -7
  No swap needed
  Compare -7 and -3
  No swap needed
  Compare -3 and -34
  Swap -3 and -34
  List after swap: [-54, -37, -7, -34, -3, 2, 40, 41, -60, 75]
  Compare -3 and 2
  No swap needed
  Compare 2 and 40
  No swap needed
  Compare 40 and 41
  No swap needed
  Compare 41 and -60
  Swap 41 and -60
  List after swap: [-54, -37, -7, -34, -3, 2, 40, -60, 41, 75]

Pass 3:
  Compare -54 and -37
  No swap needed
  Compare -37 and -7
  No swap needed
  Compare -7 and -34
  Swap -7 and -34
  List after swap: [-54, -37, -34, -7, -3, 2, 40, -60, 41, 75]
  Compare -7 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and 40
  No swap needed
  Compare 40 and -60
  Swap 40 and -60
  List after swap: [-54, -37, -34, -7, -3, 2, -60, 40, 41, 75]

Pass 4:
  Compare -54 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and -3
  No swap needed
  Compare -3 and 2
  No swap needed
  Compare 2 and -60
  Swap 2 and -60
  List after swap: [-54, -37, -34, -7, -3, -60, 2, 40, 41, 75]

Pass 5:
  Compare -54 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and -3
  No swap needed
  Compare -3 and -60
  Swap -3 and -60
  List after swap: [-54, -37, -34, -7, -60, -3, 2, 40, 41, 75]

Pass 6:
  Compare -54 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -7
  No swap needed
  Compare -7 and -60
  Swap -7 and -60
  List after swap: [-54, -37, -34, -60, -7, -3, 2, 40, 41, 75]

Pass 7:
  Compare -54 and -37
  No swap needed
  Compare -37 and -34
  No swap needed
  Compare -34 and -60
  Swap -34 and -60
  List after swap: [-54, -37, -60, -34, -7, -3, 2, 40, 41, 75]

Pass 8:
  Compare -54 and -37
  No swap needed
  Compare -37 and -60
  Swap -37 and -60
  List after swap: [-54, -60, -37, -34, -7, -3, 2, 40, 41, 75]

Pass 9:
  Compare -54 and -60
  Swap -54 and -60
  List after swap: [-60, -54, -37, -34, -7, -3, 2, 40, 41, 75]

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

Final sorted list: [-60, -54, -37, -34, -7, -3, 2, 40, 41, 75]
</think>

<response>-60, -54, -37, -34, -7, -3, 2, 40, 41, 75</response>


input: Implement bubble sort on -42, 28, -99, 86, -83, 95, -88, -62, 18, 38 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-42, 28, -99, 86, -83, 95, -88, -62, 18, 38]

Pass 1:
  Compare -42 and 28
  No swap needed
  Compare 28 and -99
  Swap 28 and -99
  List after swap: [-42, -99, 28, 86, -83, 95, -88, -62, 18, 38]
  Compare 28 and 86
  No swap needed
  Compare 86 and -83
  Swap 86 and -83
  List after swap: [-42, -99, 28, -83, 86, 95, -88, -62, 18, 38]
  Compare 86 and 95
  No swap needed
  Compare 95 and -88
  Swap 95 and -88
  List after swap: [-42, -99, 28, -83, 86, -88, 95, -62, 18, 38]
  Compare 95 and -62
  Swap 95 and -62
  List after swap: [-42, -99, 28, -83, 86, -88, -62, 95, 18, 38]
  Compare 95 and 18
  Swap 95 and 18
  List after swap: [-42, -99, 28, -83, 86, -88, -62, 18, 95, 38]
  Compare 95 and 38
  Swap 95 and 38
  List after swap: [-42, -99, 28, -83, 86, -88, -62, 18, 38, 95]

Pass 2:
  Compare -42 and -99
  Swap -42 and -99
  List after swap: [-99, -42, 28, -83, 86, -88, -62, 18, 38, 95]
  Compare -42 and 28
  No swap needed
  Compare 28 and -83
  Swap 28 and -83
  List after swap: [-99, -42, -83, 28, 86, -88, -62, 18, 38, 95]
  Compare 28 and 86
  No swap needed
  Compare 86 and -88
  Swap 86 and -88
  List after swap: [-99, -42, -83, 28, -88, 86, -62, 18, 38, 95]
  Compare 86 and -62
  Swap 86 and -62
  List after swap: [-99, -42, -83, 28, -88, -62, 86, 18, 38, 95]
  Compare 86 and 18
  Swap 86 and 18
  List after swap: [-99, -42, -83, 28, -88, -62, 18, 86, 38, 95]
  Compare 86 and 38
  Swap 86 and 38
  List after swap: [-99, -42, -83, 28, -88, -62, 18, 38, 86, 95]

Pass 3:
  Compare -99 and -42
  No swap needed
  Compare -42 and -83
  Swap -42 and -83
  List after swap: [-99, -83, -42, 28, -88, -62, 18, 38, 86, 95]
  Compare -42 and 28
  No swap needed
  Compare 28 and -88
  Swap 28 and -88
  List after swap: [-99, -83, -42, -88, 28, -62, 18, 38, 86, 95]
  Compare 28 and -62
  Swap 28 and -62
  List after swap: [-99, -83, -42, -88, -62, 28, 18, 38, 86, 95]
  Compare 28 and 18
  Swap 28 and 18
  List after swap: [-99, -83, -42, -88, -62, 18, 28, 38, 86, 95]
  Compare 28 and 38
  No swap needed

Pass 4:
  Compare -99 and -83
  No swap needed
  Compare -83 and -42
  No swap needed
  Compare -42 and -88
  Swap -42 and -88
  List after swap: [-99, -83, -88, -42, -62, 18, 28, 38, 86, 95]
  Compare -42 and -62
  Swap -42 and -62
  List after swap: [-99, -83, -88, -62, -42, 18, 28, 38, 86, 95]
  Compare -42 and 18
  No swap needed
  Compare 18 and 28
  No swap needed

Pass 5:
  Compare -99 and -83
  No swap needed
  Compare -83 and -88
  Swap -83 and -88
  List after swap: [-99, -88, -83, -62, -42, 18, 28, 38, 86, 95]
  Compare -83 and -62
  No swap needed
  Compare -62 and -42
  No swap needed
  Compare -42 and 18
  No swap needed

Pass 6:
  Compare -99 and -88
  No swap needed
  Compare -88 and -83
  No swap needed
  Compare -83 and -62
  No swap needed
  Compare -62 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -88, -83, -62, -42, 18, 28, 38, 86, 95]
</think>

<response>-99, -88, -83, -62, -42, 18, 28, 38, 86, 95</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -9, 37, -27, -90, -29.

output:
<think>
Initial list: [-9, 37, -27, -90, -29]

Pass 1:
  Compare -9 and 37
  No swap needed
  Compare 37 and -27
  Swap 37 and -27
  List after swap: [-9, -27, 37, -90, -29]
  Compare 37 and -90
  Swap 37 and -90
  List after swap: [-9, -27, -90, 37, -29]
  Compare 37 and -29
  Swap 37 and -29
  List after swap: [-9, -27, -90, -29, 37]

Pass 2:
  Compare -9 and -27
  Swap -9 and -27
  List after swap: [-27, -9, -90, -29, 37]
  Compare -9 and -90
  Swap -9 and -90
  List after swap: [-27, -90, -9, -29, 37]
  Compare -9 and -29
  Swap -9 and -29
  List after swap: [-27, -90, -29, -9, 37]

Pass 3:
  Compare -27 and -90
  Swap -27 and -90
  List after swap: [-90, -27, -29, -9, 37]
  Compare -27 and -29
  Swap -27 and -29
  List after swap: [-90, -29, -27, -9, 37]

Pass 4:
  Compare -90 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -29, -27, -9, 37]
</think>

<response>-90, -29, -27, -9, 37</response>


input: Demonstrate how bubble sort orders the integers -97, -7, -22, -95, 52 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-97, -7, -22, -95, 52]

Pass 1:
  Compare -97 and -7
  No swap needed
  Compare -7 and -22
  Swap -7 and -22
  List after swap: [-97, -22, -7, -95, 52]
  Compare -7 and -95
  Swap -7 and -95
  List after swap: [-97, -22, -95, -7, 52]
  Compare -7 and 52
  No swap needed

Pass 2:
  Compare -97 and -22
  No swap needed
  Compare -22 and -95
  Swap -22 and -95
  List after swap: [-97, -95, -22, -7, 52]
  Compare -22 and -7
  No swap needed

Pass 3:
  Compare -97 and -95
  No swap needed
  Compare -95 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -95, -22, -7, 52]
</think>

<response>-97, -95, -22, -7, 52</response>


input: Sort these integers 11, -30, -13, 62, 99, 51 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [11, -30, -13, 62, 99, 51]

Pass 1:
  Compare 11 and -30
  Swap 11 and -30
  List after swap: [-30, 11, -13, 62, 99, 51]
  Compare 11 and -13
  Swap 11 and -13
  List after swap: [-30, -13, 11, 62, 99, 51]
  Compare 11 and 62
  No swap needed
  Compare 62 and 99
  No swap needed
  Compare 99 and 51
  Swap 99 and 51
  List after swap: [-30, -13, 11, 62, 51, 99]

Pass 2:
  Compare -30 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  Compare 11 and 62
  No swap needed
  Compare 62 and 51
  Swap 62 and 51
  List after swap: [-30, -13, 11, 51, 62, 99]

Pass 3:
  Compare -30 and -13
  No swap needed
  Compare -13 and 11
  No swap needed
  Compare 11 and 51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, -13, 11, 51, 62, 99]
</think>

<response>-30, -13, 11, 51, 62, 99</response>


input: Carry out the bubble sort algorithm on -87, 30, -31, 21, 45, 40, 20 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-87, 30, -31, 21, 45, 40, 20]

Pass 1:
  Compare -87 and 30
  No swap needed
  Compare 30 and -31
  Swap 30 and -31
  List after swap: [-87, -31, 30, 21, 45, 40, 20]
  Compare 30 and 21
  Swap 30 and 21
  List after swap: [-87, -31, 21, 30, 45, 40, 20]
  Compare 30 and 45
  No swap needed
  Compare 45 and 40
  Swap 45 and 40
  List after swap: [-87, -31, 21, 30, 40, 45, 20]
  Compare 45 and 20
  Swap 45 and 20
  List after swap: [-87, -31, 21, 30, 40, 20, 45]

Pass 2:
  Compare -87 and -31
  No swap needed
  Compare -31 and 21
  No swap needed
  Compare 21 and 30
  No swap needed
  Compare 30 and 40
  No swap needed
  Compare 40 and 20
  Swap 40 and 20
  List after swap: [-87, -31, 21, 30, 20, 40, 45]

Pass 3:
  Compare -87 and -31
  No swap needed
  Compare -31 and 21
  No swap needed
  Compare 21 and 30
  No swap needed
  Compare 30 and 20
  Swap 30 and 20
  List after swap: [-87, -31, 21, 20, 30, 40, 45]

Pass 4:
  Compare -87 and -31
  No swap needed
  Compare -31 and 21
  No swap needed
  Compare 21 and 20
  Swap 21 and 20
  List after swap: [-87, -31, 20, 21, 30, 40, 45]

Pass 5:
  Compare -87 and -31
  No swap needed
  Compare -31 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -31, 20, 21, 30, 40, 45]
</think>

<response>-87, -31, 20, 21, 30, 40, 45</response>


input: Perform a bubble sort on the integers 3, 76, -3, -8, 33, -65, -29, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [3, 76, -3, -8, 33, -65, -29]

Pass 1:
  Compare 3 and 76
  No swap needed
  Compare 76 and -3
  Swap 76 and -3
  List after swap: [3, -3, 76, -8, 33, -65, -29]
  Compare 76 and -8
  Swap 76 and -8
  List after swap: [3, -3, -8, 76, 33, -65, -29]
  Compare 76 and 33
  Swap 76 and 33
  List after swap: [3, -3, -8, 33, 76, -65, -29]
  Compare 76 and -65
  Swap 76 and -65
  List after swap: [3, -3, -8, 33, -65, 76, -29]
  Compare 76 and -29
  Swap 76 and -29
  List after swap: [3, -3, -8, 33, -65, -29, 76]

Pass 2:
  Compare 3 and -3
  Swap 3 and -3
  List after swap: [-3, 3, -8, 33, -65, -29, 76]
  Compare 3 and -8
  Swap 3 and -8
  List after swap: [-3, -8, 3, 33, -65, -29, 76]
  Compare 3 and 33
  No swap needed
  Compare 33 and -65
  Swap 33 and -65
  List after swap: [-3, -8, 3, -65, 33, -29, 76]
  Compare 33 and -29
  Swap 33 and -29
  List after swap: [-3, -8, 3, -65, -29, 33, 76]

Pass 3:
  Compare -3 and -8
  Swap -3 and -8
  List after swap: [-8, -3, 3, -65, -29, 33, 76]
  Compare -3 and 3
  No swap needed
  Compare 3 and -65
  Swap 3 and -65
  List after swap: [-8, -3, -65, 3, -29, 33, 76]
  Compare 3 and -29
  Swap 3 and -29
  List after swap: [-8, -3, -65, -29, 3, 33, 76]

Pass 4:
  Compare -8 and -3
  No swap needed
  Compare -3 and -65
  Swap -3 and -65
  List after swap: [-8, -65, -3, -29, 3, 33, 76]
  Compare -3 and -29
  Swap -3 and -29
  List after swap: [-8, -65, -29, -3, 3, 33, 76]

Pass 5:
  Compare -8 and -65
  Swap -8 and -65
  List after swap: [-65, -8, -29, -3, 3, 33, 76]
  Compare -8 and -29
  Swap -8 and -29
  List after swap: [-65, -29, -8, -3, 3, 33, 76]

Pass 6:
  Compare -65 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -29, -8, -3, 3, 33, 76]
</think>

<response>-65, -29, -8, -3, 3, 33, 76</response>


input: Using the bubble sort method, sort -93, -24 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-93, -24]

Pass 1:
  Compare -93 and -24
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -24]
</think>

<response>-93, -24</response>


input: Perform a bubble sort on the integers -44, -50, 30, -61, -48, -8, 66, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-44, -50, 30, -61, -48, -8, 66]

Pass 1:
  Compare -44 and -50
  Swap -44 and -50
  List after swap: [-50, -44, 30, -61, -48, -8, 66]
  Compare -44 and 30
  No swap needed
  Compare 30 and -61
  Swap 30 and -61
  List after swap: [-50, -44, -61, 30, -48, -8, 66]
  Compare 30 and -48
  Swap 30 and -48
  List after swap: [-50, -44, -61, -48, 30, -8, 66]
  Compare 30 and -8
  Swap 30 and -8
  List after swap: [-50, -44, -61, -48, -8, 30, 66]
  Compare 30 and 66
  No swap needed

Pass 2:
  Compare -50 and -44
  No swap needed
  Compare -44 and -61
  Swap -44 and -61
  List after swap: [-50, -61, -44, -48, -8, 30, 66]
  Compare -44 and -48
  Swap -44 and -48
  List after swap: [-50, -61, -48, -44, -8, 30, 66]
  Compare -44 and -8
  No swap needed
  Compare -8 and 30
  No swap needed

Pass 3:
  Compare -50 and -61
  Swap -50 and -61
  List after swap: [-61, -50, -48, -44, -8, 30, 66]
  Compare -50 and -48
  No swap needed
  Compare -48 and -44
  No swap needed
  Compare -44 and -8
  No swap needed

Pass 4:
  Compare -61 and -50
  No swap needed
  Compare -50 and -48
  No swap needed
  Compare -48 and -44
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-61, -50, -48, -44, -8, 30, 66]
</think>

<response>-61, -50, -48, -44, -8, 30, 66</response>


input: Sort these integers 12, -18, 20, 23, -3, -95, -22, -91 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [12, -18, 20, 23, -3, -95, -22, -91]

Pass 1:
  Compare 12 and -18
  Swap 12 and -18
  List after swap: [-18, 12, 20, 23, -3, -95, -22, -91]
  Compare 12 and 20
  No swap needed
  Compare 20 and 23
  No swap needed
  Compare 23 and -3
  Swap 23 and -3
  List after swap: [-18, 12, 20, -3, 23, -95, -22, -91]
  Compare 23 and -95
  Swap 23 and -95
  List after swap: [-18, 12, 20, -3, -95, 23, -22, -91]
  Compare 23 and -22
  Swap 23 and -22
  List after swap: [-18, 12, 20, -3, -95, -22, 23, -91]
  Compare 23 and -91
  Swap 23 and -91
  List after swap: [-18, 12, 20, -3, -95, -22, -91, 23]

Pass 2:
  Compare -18 and 12
  No swap needed
  Compare 12 and 20
  No swap needed
  Compare 20 and -3
  Swap 20 and -3
  List after swap: [-18, 12, -3, 20, -95, -22, -91, 23]
  Compare 20 and -95
  Swap 20 and -95
  List after swap: [-18, 12, -3, -95, 20, -22, -91, 23]
  Compare 20 and -22
  Swap 20 and -22
  List after swap: [-18, 12, -3, -95, -22, 20, -91, 23]
  Compare 20 and -91
  Swap 20 and -91
  List after swap: [-18, 12, -3, -95, -22, -91, 20, 23]

Pass 3:
  Compare -18 and 12
  No swap needed
  Compare 12 and -3
  Swap 12 and -3
  List after swap: [-18, -3, 12, -95, -22, -91, 20, 23]
  Compare 12 and -95
  Swap 12 and -95
  List after swap: [-18, -3, -95, 12, -22, -91, 20, 23]
  Compare 12 and -22
  Swap 12 and -22
  List after swap: [-18, -3, -95, -22, 12, -91, 20, 23]
  Compare 12 and -91
  Swap 12 and -91
  List after swap: [-18, -3, -95, -22, -91, 12, 20, 23]

Pass 4:
  Compare -18 and -3
  No swap needed
  Compare -3 and -95
  Swap -3 and -95
  List after swap: [-18, -95, -3, -22, -91, 12, 20, 23]
  Compare -3 and -22
  Swap -3 and -22
  List after swap: [-18, -95, -22, -3, -91, 12, 20, 23]
  Compare -3 and -91
  Swap -3 and -91
  List after swap: [-18, -95, -22, -91, -3, 12, 20, 23]

Pass 5:
  Compare -18 and -95
  Swap -18 and -95
  List after swap: [-95, -18, -22, -91, -3, 12, 20, 23]
  Compare -18 and -22
  Swap -18 and -22
  List after swap: [-95, -22, -18, -91, -3, 12, 20, 23]
  Compare -18 and -91
  Swap -18 and -91
  List after swap: [-95, -22, -91, -18, -3, 12, 20, 23]

Pass 6:
  Compare -95 and -22
  No swap needed
  Compare -22 and -91
  Swap -22 and -91
  List after swap: [-95, -91, -22, -18, -3, 12, 20, 23]

Pass 7:
  Compare -95 and -91
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -91, -22, -18, -3, 12, 20, 23]
</think>

<response>-95, -91, -22, -18, -3, 12, 20, 23</response>


input: Demonstrate how bubble sort orders the integers -90, -25 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-90, -25]

Pass 1:
  Compare -90 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -25]
</think>

<response>-90, -25</response>


input: Demonstrate how bubble sort orders the integers -6, 59, 17, 26, 72, -68, -32 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-6, 59, 17, 26, 72, -68, -32]

Pass 1:
  Compare -6 and 59
  No swap needed
  Compare 59 and 17
  Swap 59 and 17
  List after swap: [-6, 17, 59, 26, 72, -68, -32]
  Compare 59 and 26
  Swap 59 and 26
  List after swap: [-6, 17, 26, 59, 72, -68, -32]
  Compare 59 and 72
  No swap needed
  Compare 72 and -68
  Swap 72 and -68
  List after swap: [-6, 17, 26, 59, -68, 72, -32]
  Compare 72 and -32
  Swap 72 and -32
  List after swap: [-6, 17, 26, 59, -68, -32, 72]

Pass 2:
  Compare -6 and 17
  No swap needed
  Compare 17 and 26
  No swap needed
  Compare 26 and 59
  No swap needed
  Compare 59 and -68
  Swap 59 and -68
  List after swap: [-6, 17, 26, -68, 59, -32, 72]
  Compare 59 and -32
  Swap 59 and -32
  List after swap: [-6, 17, 26, -68, -32, 59, 72]

Pass 3:
  Compare -6 and 17
  No swap needed
  Compare 17 and 26
  No swap needed
  Compare 26 and -68
  Swap 26 and -68
  List after swap: [-6, 17, -68, 26, -32, 59, 72]
  Compare 26 and -32
  Swap 26 and -32
  List after swap: [-6, 17, -68, -32, 26, 59, 72]

Pass 4:
  Compare -6 and 17
  No swap needed
  Compare 17 and -68
  Swap 17 and -68
  List after swap: [-6, -68, 17, -32, 26, 59, 72]
  Compare 17 and -32
  Swap 17 and -32
  List after swap: [-6, -68, -32, 17, 26, 59, 72]

Pass 5:
  Compare -6 and -68
  Swap -6 and -68
  List after swap: [-68, -6, -32, 17, 26, 59, 72]
  Compare -6 and -32
  Swap -6 and -32
  List after swap: [-68, -32, -6, 17, 26, 59, 72]

Pass 6:
  Compare -68 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -32, -6, 17, 26, 59, 72]
</think>

<response>-68, -32, -6, 17, 26, 59, 72</response>


input: Arrange the numbers -76, 73, -2, -18, -65, 48, -27, -64 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-76, 73, -2, -18, -65, 48, -27, -64]

Pass 1:
  Compare -76 and 73
  No swap needed
  Compare 73 and -2
  Swap 73 and -2
  List after swap: [-76, -2, 73, -18, -65, 48, -27, -64]
  Compare 73 and -18
  Swap 73 and -18
  List after swap: [-76, -2, -18, 73, -65, 48, -27, -64]
  Compare 73 and -65
  Swap 73 and -65
  List after swap: [-76, -2, -18, -65, 73, 48, -27, -64]
  Compare 73 and 48
  Swap 73 and 48
  List after swap: [-76, -2, -18, -65, 48, 73, -27, -64]
  Compare 73 and -27
  Swap 73 and -27
  List after swap: [-76, -2, -18, -65, 48, -27, 73, -64]
  Compare 73 and -64
  Swap 73 and -64
  List after swap: [-76, -2, -18, -65, 48, -27, -64, 73]

Pass 2:
  Compare -76 and -2
  No swap needed
  Compare -2 and -18
  Swap -2 and -18
  List after swap: [-76, -18, -2, -65, 48, -27, -64, 73]
  Compare -2 and -65
  Swap -2 and -65
  List after swap: [-76, -18, -65, -2, 48, -27, -64, 73]
  Compare -2 and 48
  No swap needed
  Compare 48 and -27
  Swap 48 and -27
  List after swap: [-76, -18, -65, -2, -27, 48, -64, 73]
  Compare 48 and -64
  Swap 48 and -64
  List after swap: [-76, -18, -65, -2, -27, -64, 48, 73]

Pass 3:
  Compare -76 and -18
  No swap needed
  Compare -18 and -65
  Swap -18 and -65
  List after swap: [-76, -65, -18, -2, -27, -64, 48, 73]
  Compare -18 and -2
  No swap needed
  Compare -2 and -27
  Swap -2 and -27
  List after swap: [-76, -65, -18, -27, -2, -64, 48, 73]
  Compare -2 and -64
  Swap -2 and -64
  List after swap: [-76, -65, -18, -27, -64, -2, 48, 73]

Pass 4:
  Compare -76 and -65
  No swap needed
  Compare -65 and -18
  No swap needed
  Compare -18 and -27
  Swap -18 and -27
  List after swap: [-76, -65, -27, -18, -64, -2, 48, 73]
  Compare -18 and -64
  Swap -18 and -64
  List after swap: [-76, -65, -27, -64, -18, -2, 48, 73]

Pass 5:
  Compare -76 and -65
  No swap needed
  Compare -65 and -27
  No swap needed
  Compare -27 and -64
  Swap -27 and -64
  List after swap: [-76, -65, -64, -27, -18, -2, 48, 73]

Pass 6:
  Compare -76 and -65
  No swap needed
  Compare -65 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -65, -64, -27, -18, -2, 48, 73]
</think>

<response>-76, -65, -64, -27, -18, -2, 48, 73</response>


input: Perform a bubble sort on the integers 48, -100, -6, 36, -72, 2, -31, -37, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [48, -100, -6, 36, -72, 2, -31, -37]

Pass 1:
  Compare 48 and -100
  Swap 48 and -100
  List after swap: [-100, 48, -6, 36, -72, 2, -31, -37]
  Compare 48 and -6
  Swap 48 and -6
  List after swap: [-100, -6, 48, 36, -72, 2, -31, -37]
  Compare 48 and 36
  Swap 48 and 36
  List after swap: [-100, -6, 36, 48, -72, 2, -31, -37]
  Compare 48 and -72
  Swap 48 and -72
  List after swap: [-100, -6, 36, -72, 48, 2, -31, -37]
  Compare 48 and 2
  Swap 48 and 2
  List after swap: [-100, -6, 36, -72, 2, 48, -31, -37]
  Compare 48 and -31
  Swap 48 and -31
  List after swap: [-100, -6, 36, -72, 2, -31, 48, -37]
  Compare 48 and -37
  Swap 48 and -37
  List after swap: [-100, -6, 36, -72, 2, -31, -37, 48]

Pass 2:
  Compare -100 and -6
  No swap needed
  Compare -6 and 36
  No swap needed
  Compare 36 and -72
  Swap 36 and -72
  List after swap: [-100, -6, -72, 36, 2, -31, -37, 48]
  Compare 36 and 2
  Swap 36 and 2
  List after swap: [-100, -6, -72, 2, 36, -31, -37, 48]
  Compare 36 and -31
  Swap 36 and -31
  List after swap: [-100, -6, -72, 2, -31, 36, -37, 48]
  Compare 36 and -37
  Swap 36 and -37
  List after swap: [-100, -6, -72, 2, -31, -37, 36, 48]

Pass 3:
  Compare -100 and -6
  No swap needed
  Compare -6 and -72
  Swap -6 and -72
  List after swap: [-100, -72, -6, 2, -31, -37, 36, 48]
  Compare -6 and 2
  No swap needed
  Compare 2 and -31
  Swap 2 and -31
  List after swap: [-100, -72, -6, -31, 2, -37, 36, 48]
  Compare 2 and -37
  Swap 2 and -37
  List after swap: [-100, -72, -6, -31, -37, 2, 36, 48]

Pass 4:
  Compare -100 and -72
  No swap needed
  Compare -72 and -6
  No swap needed
  Compare -6 and -31
  Swap -6 and -31
  List after swap: [-100, -72, -31, -6, -37, 2, 36, 48]
  Compare -6 and -37
  Swap -6 and -37
  List after swap: [-100, -72, -31, -37, -6, 2, 36, 48]

Pass 5:
  Compare -100 and -72
  No swap needed
  Compare -72 and -31
  No swap needed
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-100, -72, -37, -31, -6, 2, 36, 48]

Pass 6:
  Compare -100 and -72
  No swap needed
  Compare -72 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -72, -37, -31, -6, 2, 36, 48]
</think>

<response>-100, -72, -37, -31, -6, 2, 36, 48</response>


input: Using the bubble sort method, sort 69, 66, -62, 37, 68, 61, 55, -9, 48 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [69, 66, -62, 37, 68, 61, 55, -9, 48]

Pass 1:
  Compare 69 and 66
  Swap 69 and 66
  List after swap: [66, 69, -62, 37, 68, 61, 55, -9, 48]
  Compare 69 and -62
  Swap 69 and -62
  List after swap: [66, -62, 69, 37, 68, 61, 55, -9, 48]
  Compare 69 and 37
  Swap 69 and 37
  List after swap: [66, -62, 37, 69, 68, 61, 55, -9, 48]
  Compare 69 and 68
  Swap 69 and 68
  List after swap: [66, -62, 37, 68, 69, 61, 55, -9, 48]
  Compare 69 and 61
  Swap 69 and 61
  List after swap: [66, -62, 37, 68, 61, 69, 55, -9, 48]
  Compare 69 and 55
  Swap 69 and 55
  List after swap: [66, -62, 37, 68, 61, 55, 69, -9, 48]
  Compare 69 and -9
  Swap 69 and -9
  List after swap: [66, -62, 37, 68, 61, 55, -9, 69, 48]
  Compare 69 and 48
  Swap 69 and 48
  List after swap: [66, -62, 37, 68, 61, 55, -9, 48, 69]

Pass 2:
  Compare 66 and -62
  Swap 66 and -62
  List after swap: [-62, 66, 37, 68, 61, 55, -9, 48, 69]
  Compare 66 and 37
  Swap 66 and 37
  List after swap: [-62, 37, 66, 68, 61, 55, -9, 48, 69]
  Compare 66 and 68
  No swap needed
  Compare 68 and 61
  Swap 68 and 61
  List after swap: [-62, 37, 66, 61, 68, 55, -9, 48, 69]
  Compare 68 and 55
  Swap 68 and 55
  List after swap: [-62, 37, 66, 61, 55, 68, -9, 48, 69]
  Compare 68 and -9
  Swap 68 and -9
  List after swap: [-62, 37, 66, 61, 55, -9, 68, 48, 69]
  Compare 68 and 48
  Swap 68 and 48
  List after swap: [-62, 37, 66, 61, 55, -9, 48, 68, 69]

Pass 3:
  Compare -62 and 37
  No swap needed
  Compare 37 and 66
  No swap needed
  Compare 66 and 61
  Swap 66 and 61
  List after swap: [-62, 37, 61, 66, 55, -9, 48, 68, 69]
  Compare 66 and 55
  Swap 66 and 55
  List after swap: [-62, 37, 61, 55, 66, -9, 48, 68, 69]
  Compare 66 and -9
  Swap 66 and -9
  List after swap: [-62, 37, 61, 55, -9, 66, 48, 68, 69]
  Compare 66 and 48
  Swap 66 and 48
  List after swap: [-62, 37, 61, 55, -9, 48, 66, 68, 69]

Pass 4:
  Compare -62 and 37
  No swap needed
  Compare 37 and 61
  No swap needed
  Compare 61 and 55
  Swap 61 and 55
  List after swap: [-62, 37, 55, 61, -9, 48, 66, 68, 69]
  Compare 61 and -9
  Swap 61 and -9
  List after swap: [-62, 37, 55, -9, 61, 48, 66, 68, 69]
  Compare 61 and 48
  Swap 61 and 48
  List after swap: [-62, 37, 55, -9, 48, 61, 66, 68, 69]

Pass 5:
  Compare -62 and 37
  No swap needed
  Compare 37 and 55
  No swap needed
  Compare 55 and -9
  Swap 55 and -9
  List after swap: [-62, 37, -9, 55, 48, 61, 66, 68, 69]
  Compare 55 and 48
  Swap 55 and 48
  List after swap: [-62, 37, -9, 48, 55, 61, 66, 68, 69]

Pass 6:
  Compare -62 and 37
  No swap needed
  Compare 37 and -9
  Swap 37 and -9
  List after swap: [-62, -9, 37, 48, 55, 61, 66, 68, 69]
  Compare 37 and 48
  No swap needed

Pass 7:
  Compare -62 and -9
  No swap needed
  Compare -9 and 37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -9, 37, 48, 55, 61, 66, 68, 69]
</think>

<response>-62, -9, 37, 48, 55, 61, 66, 68, 69</response>


input: Sort the list -8, 59, -89, 34, 61, -10, 22 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-8, 59, -89, 34, 61, -10, 22]

Pass 1:
  Compare -8 and 59
  No swap needed
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [-8, -89, 59, 34, 61, -10, 22]
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [-8, -89, 34, 59, 61, -10, 22]
  Compare 59 and 61
  No swap needed
  Compare 61 and -10
  Swap 61 and -10
  List after swap: [-8, -89, 34, 59, -10, 61, 22]
  Compare 61 and 22
  Swap 61 and 22
  List after swap: [-8, -89, 34, 59, -10, 22, 61]

Pass 2:
  Compare -8 and -89
  Swap -8 and -89
  List after swap: [-89, -8, 34, 59, -10, 22, 61]
  Compare -8 and 34
  No swap needed
  Compare 34 and 59
  No swap needed
  Compare 59 and -10
  Swap 59 and -10
  List after swap: [-89, -8, 34, -10, 59, 22, 61]
  Compare 59 and 22
  Swap 59 and 22
  List after swap: [-89, -8, 34, -10, 22, 59, 61]

Pass 3:
  Compare -89 and -8
  No swap needed
  Compare -8 and 34
  No swap needed
  Compare 34 and -10
  Swap 34 and -10
  List after swap: [-89, -8, -10, 34, 22, 59, 61]
  Compare 34 and 22
  Swap 34 and 22
  List after swap: [-89, -8, -10, 22, 34, 59, 61]

Pass 4:
  Compare -89 and -8
  No swap needed
  Compare -8 and -10
  Swap -8 and -10
  List after swap: [-89, -10, -8, 22, 34, 59, 61]
  Compare -8 and 22
  No swap needed

Pass 5:
  Compare -89 and -10
  No swap needed
  Compare -10 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -10, -8, 22, 34, 59, 61]
</think>

<response>-89, -10, -8, 22, 34, 59, 61</response>


input: Carry out the bubble sort algorithm on 6, -24, 24, 82, 37, -54, -86, 79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [6, -24, 24, 82, 37, -54, -86, 79]

Pass 1:
  Compare 6 and -24
  Swap 6 and -24
  List after swap: [-24, 6, 24, 82, 37, -54, -86, 79]
  Compare 6 and 24
  No swap needed
  Compare 24 and 82
  No swap needed
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [-24, 6, 24, 37, 82, -54, -86, 79]
  Compare 82 and -54
  Swap 82 and -54
  List after swap: [-24, 6, 24, 37, -54, 82, -86, 79]
  Compare 82 and -86
  Swap 82 and -86
  List after swap: [-24, 6, 24, 37, -54, -86, 82, 79]
  Compare 82 and 79
  Swap 82 and 79
  List after swap: [-24, 6, 24, 37, -54, -86, 79, 82]

Pass 2:
  Compare -24 and 6
  No swap needed
  Compare 6 and 24
  No swap needed
  Compare 24 and 37
  No swap needed
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-24, 6, 24, -54, 37, -86, 79, 82]
  Compare 37 and -86
  Swap 37 and -86
  List after swap: [-24, 6, 24, -54, -86, 37, 79, 82]
  Compare 37 and 79
  No swap needed

Pass 3:
  Compare -24 and 6
  No swap needed
  Compare 6 and 24
  No swap needed
  Compare 24 and -54
  Swap 24 and -54
  List after swap: [-24, 6, -54, 24, -86, 37, 79, 82]
  Compare 24 and -86
  Swap 24 and -86
  List after swap: [-24, 6, -54, -86, 24, 37, 79, 82]
  Compare 24 and 37
  No swap needed

Pass 4:
  Compare -24 and 6
  No swap needed
  Compare 6 and -54
  Swap 6 and -54
  List after swap: [-24, -54, 6, -86, 24, 37, 79, 82]
  Compare 6 and -86
  Swap 6 and -86
  List after swap: [-24, -54, -86, 6, 24, 37, 79, 82]
  Compare 6 and 24
  No swap needed

Pass 5:
  Compare -24 and -54
  Swap -24 and -54
  List after swap: [-54, -24, -86, 6, 24, 37, 79, 82]
  Compare -24 and -86
  Swap -24 and -86
  List after swap: [-54, -86, -24, 6, 24, 37, 79, 82]
  Compare -24 and 6
  No swap needed

Pass 6:
  Compare -54 and -86
  Swap -54 and -86
  List after swap: [-86, -54, -24, 6, 24, 37, 79, 82]
  Compare -54 and -24
  No swap needed

Pass 7:
  Compare -86 and -54
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -54, -24, 6, 24, 37, 79, 82]
</think>

<response>-86, -54, -24, 6, 24, 37, 79, 82</response>


input: Execute bubble sort to sort -98, 92, -59, -96, -93, -77, -29, -14 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-98, 92, -59, -96, -93, -77, -29, -14]

Pass 1:
  Compare -98 and 92
  No swap needed
  Compare 92 and -59
  Swap 92 and -59
  List after swap: [-98, -59, 92, -96, -93, -77, -29, -14]
  Compare 92 and -96
  Swap 92 and -96
  List after swap: [-98, -59, -96, 92, -93, -77, -29, -14]
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-98, -59, -96, -93, 92, -77, -29, -14]
  Compare 92 and -77
  Swap 92 and -77
  List after swap: [-98, -59, -96, -93, -77, 92, -29, -14]
  Compare 92 and -29
  Swap 92 and -29
  List after swap: [-98, -59, -96, -93, -77, -29, 92, -14]
  Compare 92 and -14
  Swap 92 and -14
  List after swap: [-98, -59, -96, -93, -77, -29, -14, 92]

Pass 2:
  Compare -98 and -59
  No swap needed
  Compare -59 and -96
  Swap -59 and -96
  List after swap: [-98, -96, -59, -93, -77, -29, -14, 92]
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-98, -96, -93, -59, -77, -29, -14, 92]
  Compare -59 and -77
  Swap -59 and -77
  List after swap: [-98, -96, -93, -77, -59, -29, -14, 92]
  Compare -59 and -29
  No swap needed
  Compare -29 and -14
  No swap needed

Pass 3:
  Compare -98 and -96
  No swap needed
  Compare -96 and -93
  No swap needed
  Compare -93 and -77
  No swap needed
  Compare -77 and -59
  No swap needed
  Compare -59 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -96, -93, -77, -59, -29, -14, 92]
</think>

<response>-98, -96, -93, -77, -59, -29, -14, 92</response>


input: Sort the list 74, 38, -30, 72, 6, -77, -80 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [74, 38, -30, 72, 6, -77, -80]

Pass 1:
  Compare 74 and 38
  Swap 74 and 38
  List after swap: [38, 74, -30, 72, 6, -77, -80]
  Compare 74 and -30
  Swap 74 and -30
  List after swap: [38, -30, 74, 72, 6, -77, -80]
  Compare 74 and 72
  Swap 74 and 72
  List after swap: [38, -30, 72, 74, 6, -77, -80]
  Compare 74 and 6
  Swap 74 and 6
  List after swap: [38, -30, 72, 6, 74, -77, -80]
  Compare 74 and -77
  Swap 74 and -77
  List after swap: [38, -30, 72, 6, -77, 74, -80]
  Compare 74 and -80
  Swap 74 and -80
  List after swap: [38, -30, 72, 6, -77, -80, 74]

Pass 2:
  Compare 38 and -30
  Swap 38 and -30
  List after swap: [-30, 38, 72, 6, -77, -80, 74]
  Compare 38 and 72
  No swap needed
  Compare 72 and 6
  Swap 72 and 6
  List after swap: [-30, 38, 6, 72, -77, -80, 74]
  Compare 72 and -77
  Swap 72 and -77
  List after swap: [-30, 38, 6, -77, 72, -80, 74]
  Compare 72 and -80
  Swap 72 and -80
  List after swap: [-30, 38, 6, -77, -80, 72, 74]

Pass 3:
  Compare -30 and 38
  No swap needed
  Compare 38 and 6
  Swap 38 and 6
  List after swap: [-30, 6, 38, -77, -80, 72, 74]
  Compare 38 and -77
  Swap 38 and -77
  List after swap: [-30, 6, -77, 38, -80, 72, 74]
  Compare 38 and -80
  Swap 38 and -80
  List after swap: [-30, 6, -77, -80, 38, 72, 74]

Pass 4:
  Compare -30 and 6
  No swap needed
  Compare 6 and -77
  Swap 6 and -77
  List after swap: [-30, -77, 6, -80, 38, 72, 74]
  Compare 6 and -80
  Swap 6 and -80
  List after swap: [-30, -77, -80, 6, 38, 72, 74]

Pass 5:
  Compare -30 and -77
  Swap -30 and -77
  List after swap: [-77, -30, -80, 6, 38, 72, 74]
  Compare -30 and -80
  Swap -30 and -80
  List after swap: [-77, -80, -30, 6, 38, 72, 74]

Pass 6:
  Compare -77 and -80
  Swap -77 and -80
  List after swap: [-80, -77, -30, 6, 38, 72, 74]

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

Final sorted list: [-80, -77, -30, 6, 38, 72, 74]
</think>

<response>-80, -77, -30, 6, 38, 72, 74</response>


input: Execute bubble sort to sort -1, -92, 94, 7, 62, 87, -42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-1, -92, 94, 7, 62, 87, -42]

Pass 1:
  Compare -1 and -92
  Swap -1 and -92
  List after swap: [-92, -1, 94, 7, 62, 87, -42]
  Compare -1 and 94
  No swap needed
  Compare 94 and 7
  Swap 94 and 7
  List after swap: [-92, -1, 7, 94, 62, 87, -42]
  Compare 94 and 62
  Swap 94 and 62
  List after swap: [-92, -1, 7, 62, 94, 87, -42]
  Compare 94 and 87
  Swap 94 and 87
  List after swap: [-92, -1, 7, 62, 87, 94, -42]
  Compare 94 and -42
  Swap 94 and -42
  List after swap: [-92, -1, 7, 62, 87, -42, 94]

Pass 2:
  Compare -92 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and 62
  No swap needed
  Compare 62 and 87
  No swap needed
  Compare 87 and -42
  Swap 87 and -42
  List after swap: [-92, -1, 7, 62, -42, 87, 94]

Pass 3:
  Compare -92 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and 62
  No swap needed
  Compare 62 and -42
  Swap 62 and -42
  List after swap: [-92, -1, 7, -42, 62, 87, 94]

Pass 4:
  Compare -92 and -1
  No swap needed
  Compare -1 and 7
  No swap needed
  Compare 7 and -42
  Swap 7 and -42
  List after swap: [-92, -1, -42, 7, 62, 87, 94]

Pass 5:
  Compare -92 and -1
  No swap needed
  Compare -1 and -42
  Swap -1 and -42
  List after swap: [-92, -42, -1, 7, 62, 87, 94]

Pass 6:
  Compare -92 and -42
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -42, -1, 7, 62, 87, 94]
</think>

<response>-92, -42, -1, 7, 62, 87, 94</response>


input: Carry out the bubble sort algorithm on 23, -25, -78 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [23, -25, -78]

Pass 1:
  Compare 23 and -25
  Swap 23 and -25
  List after swap: [-25, 23, -78]
  Compare 23 and -78
  Swap 23 and -78
  List after swap: [-25, -78, 23]

Pass 2:
  Compare -25 and -78
  Swap -25 and -78
  List after swap: [-78, -25, 23]

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

Final sorted list: [-78, -25, 23]
</think>

<response>-78, -25, 23</response>


input: Perform a bubble sort on the integers 6, 42, 97, -91, 61, -66, -74, -61, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [6, 42, 97, -91, 61, -66, -74, -61]

Pass 1:
  Compare 6 and 42
  No swap needed
  Compare 42 and 97
  No swap needed
  Compare 97 and -91
  Swap 97 and -91
  List after swap: [6, 42, -91, 97, 61, -66, -74, -61]
  Compare 97 and 61
  Swap 97 and 61
  List after swap: [6, 42, -91, 61, 97, -66, -74, -61]
  Compare 97 and -66
  Swap 97 and -66
  List after swap: [6, 42, -91, 61, -66, 97, -74, -61]
  Compare 97 and -74
  Swap 97 and -74
  List after swap: [6, 42, -91, 61, -66, -74, 97, -61]
  Compare 97 and -61
  Swap 97 and -61
  List after swap: [6, 42, -91, 61, -66, -74, -61, 97]

Pass 2:
  Compare 6 and 42
  No swap needed
  Compare 42 and -91
  Swap 42 and -91
  List after swap: [6, -91, 42, 61, -66, -74, -61, 97]
  Compare 42 and 61
  No swap needed
  Compare 61 and -66
  Swap 61 and -66
  List after swap: [6, -91, 42, -66, 61, -74, -61, 97]
  Compare 61 and -74
  Swap 61 and -74
  List after swap: [6, -91, 42, -66, -74, 61, -61, 97]
  Compare 61 and -61
  Swap 61 and -61
  List after swap: [6, -91, 42, -66, -74, -61, 61, 97]

Pass 3:
  Compare 6 and -91
  Swap 6 and -91
  List after swap: [-91, 6, 42, -66, -74, -61, 61, 97]
  Compare 6 and 42
  No swap needed
  Compare 42 and -66
  Swap 42 and -66
  List after swap: [-91, 6, -66, 42, -74, -61, 61, 97]
  Compare 42 and -74
  Swap 42 and -74
  List after swap: [-91, 6, -66, -74, 42, -61, 61, 97]
  Compare 42 and -61
  Swap 42 and -61
  List after swap: [-91, 6, -66, -74, -61, 42, 61, 97]

Pass 4:
  Compare -91 and 6
  No swap needed
  Compare 6 and -66
  Swap 6 and -66
  List after swap: [-91, -66, 6, -74, -61, 42, 61, 97]
  Compare 6 and -74
  Swap 6 and -74
  List after swap: [-91, -66, -74, 6, -61, 42, 61, 97]
  Compare 6 and -61
  Swap 6 and -61
  List after swap: [-91, -66, -74, -61, 6, 42, 61, 97]

Pass 5:
  Compare -91 and -66
  No swap needed
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-91, -74, -66, -61, 6, 42, 61, 97]
  Compare -66 and -61
  No swap needed

Pass 6:
  Compare -91 and -74
  No swap needed
  Compare -74 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -74, -66, -61, 6, 42, 61, 97]
</think>

<response>-91, -74, -66, -61, 6, 42, 61, 97</response>


input: Execute bubble sort to sort -100, -62, -38, 71, -30, -32, 63, 31 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-100, -62, -38, 71, -30, -32, 63, 31]

Pass 1:
  Compare -100 and -62
  No swap needed
  Compare -62 and -38
  No swap needed
  Compare -38 and 71
  No swap needed
  Compare 71 and -30
  Swap 71 and -30
  List after swap: [-100, -62, -38, -30, 71, -32, 63, 31]
  Compare 71 and -32
  Swap 71 and -32
  List after swap: [-100, -62, -38, -30, -32, 71, 63, 31]
  Compare 71 and 63
  Swap 71 and 63
  List after swap: [-100, -62, -38, -30, -32, 63, 71, 31]
  Compare 71 and 31
  Swap 71 and 31
  List after swap: [-100, -62, -38, -30, -32, 63, 31, 71]

Pass 2:
  Compare -100 and -62
  No swap needed
  Compare -62 and -38
  No swap needed
  Compare -38 and -30
  No swap needed
  Compare -30 and -32
  Swap -30 and -32
  List after swap: [-100, -62, -38, -32, -30, 63, 31, 71]
  Compare -30 and 63
  No swap needed
  Compare 63 and 31
  Swap 63 and 31
  List after swap: [-100, -62, -38, -32, -30, 31, 63, 71]

Pass 3:
  Compare -100 and -62
  No swap needed
  Compare -62 and -38
  No swap needed
  Compare -38 and -32
  No swap needed
  Compare -32 and -30
  No swap needed
  Compare -30 and 31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -62, -38, -32, -30, 31, 63, 71]
</think>

<response>-100, -62, -38, -32, -30, 31, 63, 71</response>


input: Demonstrate how bubble sort orders the integers -2, -33, 10, -71, 16 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-2, -33, 10, -71, 16]

Pass 1:
  Compare -2 and -33
  Swap -2 and -33
  List after swap: [-33, -2, 10, -71, 16]
  Compare -2 and 10
  No swap needed
  Compare 10 and -71
  Swap 10 and -71
  List after swap: [-33, -2, -71, 10, 16]
  Compare 10 and 16
  No swap needed

Pass 2:
  Compare -33 and -2
  No swap needed
  Compare -2 and -71
  Swap -2 and -71
  List after swap: [-33, -71, -2, 10, 16]
  Compare -2 and 10
  No swap needed

Pass 3:
  Compare -33 and -71
  Swap -33 and -71
  List after swap: [-71, -33, -2, 10, 16]
  Compare -33 and -2
  No swap needed

Pass 4:
  Compare -71 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -33, -2, 10, 16]
</think>

<response>-71, -33, -2, 10, 16</response>


input: Execute bubble sort to sort -2, 22, 59 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-2, 22, 59]

Pass 1:
  Compare -2 and 22
  No swap needed
  Compare 22 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-2, 22, 59]
</think>

<response>-2, 22, 59</response>


input: Execute bubble sort to sort 12, -62, -31, -96, 49, 83, 68, 11, -36, -55 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [12, -62, -31, -96, 49, 83, 68, 11, -36, -55]

Pass 1:
  Compare 12 and -62
  Swap 12 and -62
  List after swap: [-62, 12, -31, -96, 49, 83, 68, 11, -36, -55]
  Compare 12 and -31
  Swap 12 and -31
  List after swap: [-62, -31, 12, -96, 49, 83, 68, 11, -36, -55]
  Compare 12 and -96
  Swap 12 and -96
  List after swap: [-62, -31, -96, 12, 49, 83, 68, 11, -36, -55]
  Compare 12 and 49
  No swap needed
  Compare 49 and 83
  No swap needed
  Compare 83 and 68
  Swap 83 and 68
  List after swap: [-62, -31, -96, 12, 49, 68, 83, 11, -36, -55]
  Compare 83 and 11
  Swap 83 and 11
  List after swap: [-62, -31, -96, 12, 49, 68, 11, 83, -36, -55]
  Compare 83 and -36
  Swap 83 and -36
  List after swap: [-62, -31, -96, 12, 49, 68, 11, -36, 83, -55]
  Compare 83 and -55
  Swap 83 and -55
  List after swap: [-62, -31, -96, 12, 49, 68, 11, -36, -55, 83]

Pass 2:
  Compare -62 and -31
  No swap needed
  Compare -31 and -96
  Swap -31 and -96
  List after swap: [-62, -96, -31, 12, 49, 68, 11, -36, -55, 83]
  Compare -31 and 12
  No swap needed
  Compare 12 and 49
  No swap needed
  Compare 49 and 68
  No swap needed
  Compare 68 and 11
  Swap 68 and 11
  List after swap: [-62, -96, -31, 12, 49, 11, 68, -36, -55, 83]
  Compare 68 and -36
  Swap 68 and -36
  List after swap: [-62, -96, -31, 12, 49, 11, -36, 68, -55, 83]
  Compare 68 and -55
  Swap 68 and -55
  List after swap: [-62, -96, -31, 12, 49, 11, -36, -55, 68, 83]

Pass 3:
  Compare -62 and -96
  Swap -62 and -96
  List after swap: [-96, -62, -31, 12, 49, 11, -36, -55, 68, 83]
  Compare -62 and -31
  No swap needed
  Compare -31 and 12
  No swap needed
  Compare 12 and 49
  No swap needed
  Compare 49 and 11
  Swap 49 and 11
  List after swap: [-96, -62, -31, 12, 11, 49, -36, -55, 68, 83]
  Compare 49 and -36
  Swap 49 and -36
  List after swap: [-96, -62, -31, 12, 11, -36, 49, -55, 68, 83]
  Compare 49 and -55
  Swap 49 and -55
  List after swap: [-96, -62, -31, 12, 11, -36, -55, 49, 68, 83]

Pass 4:
  Compare -96 and -62
  No swap needed
  Compare -62 and -31
  No swap needed
  Compare -31 and 12
  No swap needed
  Compare 12 and 11
  Swap 12 and 11
  List after swap: [-96, -62, -31, 11, 12, -36, -55, 49, 68, 83]
  Compare 12 and -36
  Swap 12 and -36
  List after swap: [-96, -62, -31, 11, -36, 12, -55, 49, 68, 83]
  Compare 12 and -55
  Swap 12 and -55
  List after swap: [-96, -62, -31, 11, -36, -55, 12, 49, 68, 83]

Pass 5:
  Compare -96 and -62
  No swap needed
  Compare -62 and -31
  No swap needed
  Compare -31 and 11
  No swap needed
  Compare 11 and -36
  Swap 11 and -36
  List after swap: [-96, -62, -31, -36, 11, -55, 12, 49, 68, 83]
  Compare 11 and -55
  Swap 11 and -55
  List after swap: [-96, -62, -31, -36, -55, 11, 12, 49, 68, 83]

Pass 6:
  Compare -96 and -62
  No swap needed
  Compare -62 and -31
  No swap needed
  Compare -31 and -36
  Swap -31 and -36
  List after swap: [-96, -62, -36, -31, -55, 11, 12, 49, 68, 83]
  Compare -31 and -55
  Swap -31 and -55
  List after swap: [-96, -62, -36, -55, -31, 11, 12, 49, 68, 83]

Pass 7:
  Compare -96 and -62
  No swap needed
  Compare -62 and -36
  No swap needed
  Compare -36 and -55
  Swap -36 and -55
  List after swap: [-96, -62, -55, -36, -31, 11, 12, 49, 68, 83]

Pass 8:
  Compare -96 and -62
  No swap needed
  Compare -62 and -55
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -62, -55, -36, -31, 11, 12, 49, 68, 83]
</think>

<response>-96, -62, -55, -36, -31, 11, 12, 49, 68, 83</response>


input: Sort the list -69, -72, -95, -68, 93, -75, 39, 79 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-69, -72, -95, -68, 93, -75, 39, 79]

Pass 1:
  Compare -69 and -72
  Swap -69 and -72
  List after swap: [-72, -69, -95, -68, 93, -75, 39, 79]
  Compare -69 and -95
  Swap -69 and -95
  List after swap: [-72, -95, -69, -68, 93, -75, 39, 79]
  Compare -69 and -68
  No swap needed
  Compare -68 and 93
  No swap needed
  Compare 93 and -75
  Swap 93 and -75
  List after swap: [-72, -95, -69, -68, -75, 93, 39, 79]
  Compare 93 and 39
  Swap 93 and 39
  List after swap: [-72, -95, -69, -68, -75, 39, 93, 79]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [-72, -95, -69, -68, -75, 39, 79, 93]

Pass 2:
  Compare -72 and -95
  Swap -72 and -95
  List after swap: [-95, -72, -69, -68, -75, 39, 79, 93]
  Compare -72 and -69
  No swap needed
  Compare -69 and -68
  No swap needed
  Compare -68 and -75
  Swap -68 and -75
  List after swap: [-95, -72, -69, -75, -68, 39, 79, 93]
  Compare -68 and 39
  No swap needed
  Compare 39 and 79
  No swap needed

Pass 3:
  Compare -95 and -72
  No swap needed
  Compare -72 and -69
  No swap needed
  Compare -69 and -75
  Swap -69 and -75
  List after swap: [-95, -72, -75, -69, -68, 39, 79, 93]
  Compare -69 and -68
  No swap needed
  Compare -68 and 39
  No swap needed

Pass 4:
  Compare -95 and -72
  No swap needed
  Compare -72 and -75
  Swap -72 and -75
  List after swap: [-95, -75, -72, -69, -68, 39, 79, 93]
  Compare -72 and -69
  No swap needed
  Compare -69 and -68
  No swap needed

Pass 5:
  Compare -95 and -75
  No swap needed
  Compare -75 and -72
  No swap needed
  Compare -72 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -75, -72, -69, -68, 39, 79, 93]
</think>

<response>-95, -75, -72, -69, -68, 39, 79, 93</response>


input: Arrange the numbers -5, -78, 10, 71 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-5, -78, 10, 71]

Pass 1:
  Compare -5 and -78
  Swap -5 and -78
  List after swap: [-78, -5, 10, 71]
  Compare -5 and 10
  No swap needed
  Compare 10 and 71
  No swap needed

Pass 2:
  Compare -78 and -5
  No swap needed
  Compare -5 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -5, 10, 71]
</think>

<response>-78, -5, 10, 71</response>


input: Perform a bubble sort on the integers -33, 42, -81, -35, 69, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-33, 42, -81, -35, 69]

Pass 1:
  Compare -33 and 42
  No swap needed
  Compare 42 and -81
  Swap 42 and -81
  List after swap: [-33, -81, 42, -35, 69]
  Compare 42 and -35
  Swap 42 and -35
  List after swap: [-33, -81, -35, 42, 69]
  Compare 42 and 69
  No swap needed

Pass 2:
  Compare -33 and -81
  Swap -33 and -81
  List after swap: [-81, -33, -35, 42, 69]
  Compare -33 and -35
  Swap -33 and -35
  List after swap: [-81, -35, -33, 42, 69]
  Compare -33 and 42
  No swap needed

Pass 3:
  Compare -81 and -35
  No swap needed
  Compare -35 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -35, -33, 42, 69]
</think>

<response>-81, -35, -33, 42, 69</response>


input: Execute bubble sort to sort 5, -84, 67, 75, 29, 41, 7 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [5, -84, 67, 75, 29, 41, 7]

Pass 1:
  Compare 5 and -84
  Swap 5 and -84
  List after swap: [-84, 5, 67, 75, 29, 41, 7]
  Compare 5 and 67
  No swap needed
  Compare 67 and 75
  No swap needed
  Compare 75 and 29
  Swap 75 and 29
  List after swap: [-84, 5, 67, 29, 75, 41, 7]
  Compare 75 and 41
  Swap 75 and 41
  List after swap: [-84, 5, 67, 29, 41, 75, 7]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-84, 5, 67, 29, 41, 7, 75]

Pass 2:
  Compare -84 and 5
  No swap needed
  Compare 5 and 67
  No swap needed
  Compare 67 and 29
  Swap 67 and 29
  List after swap: [-84, 5, 29, 67, 41, 7, 75]
  Compare 67 and 41
  Swap 67 and 41
  List after swap: [-84, 5, 29, 41, 67, 7, 75]
  Compare 67 and 7
  Swap 67 and 7
  List after swap: [-84, 5, 29, 41, 7, 67, 75]

Pass 3:
  Compare -84 and 5
  No swap needed
  Compare 5 and 29
  No swap needed
  Compare 29 and 41
  No swap needed
  Compare 41 and 7
  Swap 41 and 7
  List after swap: [-84, 5, 29, 7, 41, 67, 75]

Pass 4:
  Compare -84 and 5
  No swap needed
  Compare 5 and 29
  No swap needed
  Compare 29 and 7
  Swap 29 and 7
  List after swap: [-84, 5, 7, 29, 41, 67, 75]

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

Final sorted list: [-84, 5, 7, 29, 41, 67, 75]
</think>

<response>-84, 5, 7, 29, 41, 67, 75</response>


input: Using the bubble sort method, sort -32, 33, -47, 73, 1, -66, -74, -16, 84, 37 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-32, 33, -47, 73, 1, -66, -74, -16, 84, 37]

Pass 1:
  Compare -32 and 33
  No swap needed
  Compare 33 and -47
  Swap 33 and -47
  List after swap: [-32, -47, 33, 73, 1, -66, -74, -16, 84, 37]
  Compare 33 and 73
  No swap needed
  Compare 73 and 1
  Swap 73 and 1
  List after swap: [-32, -47, 33, 1, 73, -66, -74, -16, 84, 37]
  Compare 73 and -66
  Swap 73 and -66
  List after swap: [-32, -47, 33, 1, -66, 73, -74, -16, 84, 37]
  Compare 73 and -74
  Swap 73 and -74
  List after swap: [-32, -47, 33, 1, -66, -74, 73, -16, 84, 37]
  Compare 73 and -16
  Swap 73 and -16
  List after swap: [-32, -47, 33, 1, -66, -74, -16, 73, 84, 37]
  Compare 73 and 84
  No swap needed
  Compare 84 and 37
  Swap 84 and 37
  List after swap: [-32, -47, 33, 1, -66, -74, -16, 73, 37, 84]

Pass 2:
  Compare -32 and -47
  Swap -32 and -47
  List after swap: [-47, -32, 33, 1, -66, -74, -16, 73, 37, 84]
  Compare -32 and 33
  No swap needed
  Compare 33 and 1
  Swap 33 and 1
  List after swap: [-47, -32, 1, 33, -66, -74, -16, 73, 37, 84]
  Compare 33 and -66
  Swap 33 and -66
  List after swap: [-47, -32, 1, -66, 33, -74, -16, 73, 37, 84]
  Compare 33 and -74
  Swap 33 and -74
  List after swap: [-47, -32, 1, -66, -74, 33, -16, 73, 37, 84]
  Compare 33 and -16
  Swap 33 and -16
  List after swap: [-47, -32, 1, -66, -74, -16, 33, 73, 37, 84]
  Compare 33 and 73
  No swap needed
  Compare 73 and 37
  Swap 73 and 37
  List after swap: [-47, -32, 1, -66, -74, -16, 33, 37, 73, 84]

Pass 3:
  Compare -47 and -32
  No swap needed
  Compare -32 and 1
  No swap needed
  Compare 1 and -66
  Swap 1 and -66
  List after swap: [-47, -32, -66, 1, -74, -16, 33, 37, 73, 84]
  Compare 1 and -74
  Swap 1 and -74
  List after swap: [-47, -32, -66, -74, 1, -16, 33, 37, 73, 84]
  Compare 1 and -16
  Swap 1 and -16
  List after swap: [-47, -32, -66, -74, -16, 1, 33, 37, 73, 84]
  Compare 1 and 33
  No swap needed
  Compare 33 and 37
  No swap needed

Pass 4:
  Compare -47 and -32
  No swap needed
  Compare -32 and -66
  Swap -32 and -66
  List after swap: [-47, -66, -32, -74, -16, 1, 33, 37, 73, 84]
  Compare -32 and -74
  Swap -32 and -74
  List after swap: [-47, -66, -74, -32, -16, 1, 33, 37, 73, 84]
  Compare -32 and -16
  No swap needed
  Compare -16 and 1
  No swap needed
  Compare 1 and 33
  No swap needed

Pass 5:
  Compare -47 and -66
  Swap -47 and -66
  List after swap: [-66, -47, -74, -32, -16, 1, 33, 37, 73, 84]
  Compare -47 and -74
  Swap -47 and -74
  List after swap: [-66, -74, -47, -32, -16, 1, 33, 37, 73, 84]
  Compare -47 and -32
  No swap needed
  Compare -32 and -16
  No swap needed
  Compare -16 and 1
  No swap needed

Pass 6:
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-74, -66, -47, -32, -16, 1, 33, 37, 73, 84]
  Compare -66 and -47
  No swap needed
  Compare -47 and -32
  No swap needed
  Compare -32 and -16
  No swap needed

Pass 7:
  Compare -74 and -66
  No swap needed
  Compare -66 and -47
  No swap needed
  Compare -47 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -66, -47, -32, -16, 1, 33, 37, 73, 84]
</think>

<response>-74, -66, -47, -32, -16, 1, 33, 37, 73, 84</response>


input: Execute bubble sort to sort 76, 39, -37, 6 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [76, 39, -37, 6]

Pass 1:
  Compare 76 and 39
  Swap 76 and 39
  List after swap: [39, 76, -37, 6]
  Compare 76 and -37
  Swap 76 and -37
  List after swap: [39, -37, 76, 6]
  Compare 76 and 6
  Swap 76 and 6
  List after swap: [39, -37, 6, 76]

Pass 2:
  Compare 39 and -37
  Swap 39 and -37
  List after swap: [-37, 39, 6, 76]
  Compare 39 and 6
  Swap 39 and 6
  List after swap: [-37, 6, 39, 76]

Pass 3:
  Compare -37 and 6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-37, 6, 39, 76]
</think>

<response>-37, 6, 39, 76</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -8, -20, -90, 35, -85, -69, 22, 19.

output:
<think>
Initial list: [-8, -20, -90, 35, -85, -69, 22, 19]

Pass 1:
  Compare -8 and -20
  Swap -8 and -20
  List after swap: [-20, -8, -90, 35, -85, -69, 22, 19]
  Compare -8 and -90
  Swap -8 and -90
  List after swap: [-20, -90, -8, 35, -85, -69, 22, 19]
  Compare -8 and 35
  No swap needed
  Compare 35 and -85
  Swap 35 and -85
  List after swap: [-20, -90, -8, -85, 35, -69, 22, 19]
  Compare 35 and -69
  Swap 35 and -69
  List after swap: [-20, -90, -8, -85, -69, 35, 22, 19]
  Compare 35 and 22
  Swap 35 and 22
  List after swap: [-20, -90, -8, -85, -69, 22, 35, 19]
  Compare 35 and 19
  Swap 35 and 19
  List after swap: [-20, -90, -8, -85, -69, 22, 19, 35]

Pass 2:
  Compare -20 and -90
  Swap -20 and -90
  List after swap: [-90, -20, -8, -85, -69, 22, 19, 35]
  Compare -20 and -8
  No swap needed
  Compare -8 and -85
  Swap -8 and -85
  List after swap: [-90, -20, -85, -8, -69, 22, 19, 35]
  Compare -8 and -69
  Swap -8 and -69
  List after swap: [-90, -20, -85, -69, -8, 22, 19, 35]
  Compare -8 and 22
  No swap needed
  Compare 22 and 19
  Swap 22 and 19
  List after swap: [-90, -20, -85, -69, -8, 19, 22, 35]

Pass 3:
  Compare -90 and -20
  No swap needed
  Compare -20 and -85
  Swap -20 and -85
  List after swap: [-90, -85, -20, -69, -8, 19, 22, 35]
  Compare -20 and -69
  Swap -20 and -69
  List after swap: [-90, -85, -69, -20, -8, 19, 22, 35]
  Compare -20 and -8
  No swap needed
  Compare -8 and 19
  No swap needed

Pass 4:
  Compare -90 and -85
  No swap needed
  Compare -85 and -69
  No swap needed
  Compare -69 and -20
  No swap needed
  Compare -20 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -85, -69, -20, -8, 19, 22, 35]
</think>

<response>-90, -85, -69, -20, -8, 19, 22, 35</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 93, -38, -57, -29, -15, -62.

output:
<think>
Initial list: [93, -38, -57, -29, -15, -62]

Pass 1:
  Compare 93 and -38
  Swap 93 and -38
  List after swap: [-38, 93, -57, -29, -15, -62]
  Compare 93 and -57
  Swap 93 and -57
  List after swap: [-38, -57, 93, -29, -15, -62]
  Compare 93 and -29
  Swap 93 and -29
  List after swap: [-38, -57, -29, 93, -15, -62]
  Compare 93 and -15
  Swap 93 and -15
  List after swap: [-38, -57, -29, -15, 93, -62]
  Compare 93 and -62
  Swap 93 and -62
  List after swap: [-38, -57, -29, -15, -62, 93]

Pass 2:
  Compare -38 and -57
  Swap -38 and -57
  List after swap: [-57, -38, -29, -15, -62, 93]
  Compare -38 and -29
  No swap needed
  Compare -29 and -15
  No swap needed
  Compare -15 and -62
  Swap -15 and -62
  List after swap: [-57, -38, -29, -62, -15, 93]

Pass 3:
  Compare -57 and -38
  No swap needed
  Compare -38 and -29
  No swap needed
  Compare -29 and -62
  Swap -29 and -62
  List after swap: [-57, -38, -62, -29, -15, 93]

Pass 4:
  Compare -57 and -38
  No swap needed
  Compare -38 and -62
  Swap -38 and -62
  List after swap: [-57, -62, -38, -29, -15, 93]

Pass 5:
  Compare -57 and -62
  Swap -57 and -62
  List after swap: [-62, -57, -38, -29, -15, 93]

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

Final sorted list: [-62, -57, -38, -29, -15, 93]
</think>

<response>-62, -57, -38, -29, -15, 93</response>


input: Arrange the numbers -31, -48 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-31, -48]

Pass 1:
  Compare -31 and -48
  Swap -31 and -48
  List after swap: [-48, -31]

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

Final sorted list: [-48, -31]
</think>

<response>-48, -31</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 99, 40, -63.

output:
<think>
Initial list: [99, 40, -63]

Pass 1:
  Compare 99 and 40
  Swap 99 and 40
  List after swap: [40, 99, -63]
  Compare 99 and -63
  Swap 99 and -63
  List after swap: [40, -63, 99]

Pass 2:
  Compare 40 and -63
  Swap 40 and -63
  List after swap: [-63, 40, 99]

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

Final sorted list: [-63, 40, 99]
</think>

<response>-63, 40, 99</response>


input: Implement bubble sort on 51, 83, 38, -100, -24, 89, 27, -68, -53 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [51, 83, 38, -100, -24, 89, 27, -68, -53]

Pass 1:
  Compare 51 and 83
  No swap needed
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [51, 38, 83, -100, -24, 89, 27, -68, -53]
  Compare 83 and -100
  Swap 83 and -100
  List after swap: [51, 38, -100, 83, -24, 89, 27, -68, -53]
  Compare 83 and -24
  Swap 83 and -24
  List after swap: [51, 38, -100, -24, 83, 89, 27, -68, -53]
  Compare 83 and 89
  No swap needed
  Compare 89 and 27
  Swap 89 and 27
  List after swap: [51, 38, -100, -24, 83, 27, 89, -68, -53]
  Compare 89 and -68
  Swap 89 and -68
  List after swap: [51, 38, -100, -24, 83, 27, -68, 89, -53]
  Compare 89 and -53
  Swap 89 and -53
  List after swap: [51, 38, -100, -24, 83, 27, -68, -53, 89]

Pass 2:
  Compare 51 and 38
  Swap 51 and 38
  List after swap: [38, 51, -100, -24, 83, 27, -68, -53, 89]
  Compare 51 and -100
  Swap 51 and -100
  List after swap: [38, -100, 51, -24, 83, 27, -68, -53, 89]
  Compare 51 and -24
  Swap 51 and -24
  List after swap: [38, -100, -24, 51, 83, 27, -68, -53, 89]
  Compare 51 and 83
  No swap needed
  Compare 83 and 27
  Swap 83 and 27
  List after swap: [38, -100, -24, 51, 27, 83, -68, -53, 89]
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [38, -100, -24, 51, 27, -68, 83, -53, 89]
  Compare 83 and -53
  Swap 83 and -53
  List after swap: [38, -100, -24, 51, 27, -68, -53, 83, 89]

Pass 3:
  Compare 38 and -100
  Swap 38 and -100
  List after swap: [-100, 38, -24, 51, 27, -68, -53, 83, 89]
  Compare 38 and -24
  Swap 38 and -24
  List after swap: [-100, -24, 38, 51, 27, -68, -53, 83, 89]
  Compare 38 and 51
  No swap needed
  Compare 51 and 27
  Swap 51 and 27
  List after swap: [-100, -24, 38, 27, 51, -68, -53, 83, 89]
  Compare 51 and -68
  Swap 51 and -68
  List after swap: [-100, -24, 38, 27, -68, 51, -53, 83, 89]
  Compare 51 and -53
  Swap 51 and -53
  List after swap: [-100, -24, 38, 27, -68, -53, 51, 83, 89]

Pass 4:
  Compare -100 and -24
  No swap needed
  Compare -24 and 38
  No swap needed
  Compare 38 and 27
  Swap 38 and 27
  List after swap: [-100, -24, 27, 38, -68, -53, 51, 83, 89]
  Compare 38 and -68
  Swap 38 and -68
  List after swap: [-100, -24, 27, -68, 38, -53, 51, 83, 89]
  Compare 38 and -53
  Swap 38 and -53
  List after swap: [-100, -24, 27, -68, -53, 38, 51, 83, 89]

Pass 5:
  Compare -100 and -24
  No swap needed
  Compare -24 and 27
  No swap needed
  Compare 27 and -68
  Swap 27 and -68
  List after swap: [-100, -24, -68, 27, -53, 38, 51, 83, 89]
  Compare 27 and -53
  Swap 27 and -53
  List after swap: [-100, -24, -68, -53, 27, 38, 51, 83, 89]

Pass 6:
  Compare -100 and -24
  No swap needed
  Compare -24 and -68
  Swap -24 and -68
  List after swap: [-100, -68, -24, -53, 27, 38, 51, 83, 89]
  Compare -24 and -53
  Swap -24 and -53
  List after swap: [-100, -68, -53, -24, 27, 38, 51, 83, 89]

Pass 7:
  Compare -100 and -68
  No swap needed
  Compare -68 and -53
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -68, -53, -24, 27, 38, 51, 83, 89]
</think>

<response>-100, -68, -53, -24, 27, 38, 51, 83, 89</response>


input: Carry out the bubble sort algorithm on -94, 54, -29 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-94, 54, -29]

Pass 1:
  Compare -94 and 54
  No swap needed
  Compare 54 and -29
  Swap 54 and -29
  List after swap: [-94, -29, 54]

Pass 2:
  Compare -94 and -29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -29, 54]
</think>

<response>-94, -29, 54</response>


input: Execute bubble sort to sort -76, -98, -62, -29 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-76, -98, -62, -29]

Pass 1:
  Compare -76 and -98
  Swap -76 and -98
  List after swap: [-98, -76, -62, -29]
  Compare -76 and -62
  No swap needed
  Compare -62 and -29
  No swap needed

Pass 2:
  Compare -98 and -76
  No swap needed
  Compare -76 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -76, -62, -29]
</think>

<response>-98, -76, -62, -29</response>


input: Using the bubble sort method, sort 96, 4, 2, -69, -10, -41 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [96, 4, 2, -69, -10, -41]

Pass 1:
  Compare 96 and 4
  Swap 96 and 4
  List after swap: [4, 96, 2, -69, -10, -41]
  Compare 96 and 2
  Swap 96 and 2
  List after swap: [4, 2, 96, -69, -10, -41]
  Compare 96 and -69
  Swap 96 and -69
  List after swap: [4, 2, -69, 96, -10, -41]
  Compare 96 and -10
  Swap 96 and -10
  List after swap: [4, 2, -69, -10, 96, -41]
  Compare 96 and -41
  Swap 96 and -41
  List after swap: [4, 2, -69, -10, -41, 96]

Pass 2:
  Compare 4 and 2
  Swap 4 and 2
  List after swap: [2, 4, -69, -10, -41, 96]
  Compare 4 and -69
  Swap 4 and -69
  List after swap: [2, -69, 4, -10, -41, 96]
  Compare 4 and -10
  Swap 4 and -10
  List after swap: [2, -69, -10, 4, -41, 96]
  Compare 4 and -41
  Swap 4 and -41
  List after swap: [2, -69, -10, -41, 4, 96]

Pass 3:
  Compare 2 and -69
  Swap 2 and -69
  List after swap: [-69, 2, -10, -41, 4, 96]
  Compare 2 and -10
  Swap 2 and -10
  List after swap: [-69, -10, 2, -41, 4, 96]
  Compare 2 and -41
  Swap 2 and -41
  List after swap: [-69, -10, -41, 2, 4, 96]

Pass 4:
  Compare -69 and -10
  No swap needed
  Compare -10 and -41
  Swap -10 and -41
  List after swap: [-69, -41, -10, 2, 4, 96]

Pass 5:
  Compare -69 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -41, -10, 2, 4, 96]
</think>

<response>-69, -41, -10, 2, 4, 96</response>


input: Execute bubble sort to sort 38, 20, 23 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [38, 20, 23]

Pass 1:
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [20, 38, 23]
  Compare 38 and 23
  Swap 38 and 23
  List after swap: [20, 23, 38]

Pass 2:
  Compare 20 and 23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [20, 23, 38]
</think>

<response>20, 23, 38</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 48, -1, 90, -49, 71, 5, 29.

output:
<think>
Initial list: [48, -1, 90, -49, 71, 5, 29]

Pass 1:
  Compare 48 and -1
  Swap 48 and -1
  List after swap: [-1, 48, 90, -49, 71, 5, 29]
  Compare 48 and 90
  No swap needed
  Compare 90 and -49
  Swap 90 and -49
  List after swap: [-1, 48, -49, 90, 71, 5, 29]
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [-1, 48, -49, 71, 90, 5, 29]
  Compare 90 and 5
  Swap 90 and 5
  List after swap: [-1, 48, -49, 71, 5, 90, 29]
  Compare 90 and 29
  Swap 90 and 29
  List after swap: [-1, 48, -49, 71, 5, 29, 90]

Pass 2:
  Compare -1 and 48
  No swap needed
  Compare 48 and -49
  Swap 48 and -49
  List after swap: [-1, -49, 48, 71, 5, 29, 90]
  Compare 48 and 71
  No swap needed
  Compare 71 and 5
  Swap 71 and 5
  List after swap: [-1, -49, 48, 5, 71, 29, 90]
  Compare 71 and 29
  Swap 71 and 29
  List after swap: [-1, -49, 48, 5, 29, 71, 90]

Pass 3:
  Compare -1 and -49
  Swap -1 and -49
  List after swap: [-49, -1, 48, 5, 29, 71, 90]
  Compare -1 and 48
  No swap needed
  Compare 48 and 5
  Swap 48 and 5
  List after swap: [-49, -1, 5, 48, 29, 71, 90]
  Compare 48 and 29
  Swap 48 and 29
  List after swap: [-49, -1, 5, 29, 48, 71, 90]

Pass 4:
  Compare -49 and -1
  No swap needed
  Compare -1 and 5
  No swap needed
  Compare 5 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-49, -1, 5, 29, 48, 71, 90]
</think>

<response>-49, -1, 5, 29, 48, 71, 90</response>


input: Sort the list 75, 36, -31, 82, -32, 37, 99, -98, 65 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [75, 36, -31, 82, -32, 37, 99, -98, 65]

Pass 1:
  Compare 75 and 36
  Swap 75 and 36
  List after swap: [36, 75, -31, 82, -32, 37, 99, -98, 65]
  Compare 75 and -31
  Swap 75 and -31
  List after swap: [36, -31, 75, 82, -32, 37, 99, -98, 65]
  Compare 75 and 82
  No swap needed
  Compare 82 and -32
  Swap 82 and -32
  List after swap: [36, -31, 75, -32, 82, 37, 99, -98, 65]
  Compare 82 and 37
  Swap 82 and 37
  List after swap: [36, -31, 75, -32, 37, 82, 99, -98, 65]
  Compare 82 and 99
  No swap needed
  Compare 99 and -98
  Swap 99 and -98
  List after swap: [36, -31, 75, -32, 37, 82, -98, 99, 65]
  Compare 99 and 65
  Swap 99 and 65
  List after swap: [36, -31, 75, -32, 37, 82, -98, 65, 99]

Pass 2:
  Compare 36 and -31
  Swap 36 and -31
  List after swap: [-31, 36, 75, -32, 37, 82, -98, 65, 99]
  Compare 36 and 75
  No swap needed
  Compare 75 and -32
  Swap 75 and -32
  List after swap: [-31, 36, -32, 75, 37, 82, -98, 65, 99]
  Compare 75 and 37
  Swap 75 and 37
  List after swap: [-31, 36, -32, 37, 75, 82, -98, 65, 99]
  Compare 75 and 82
  No swap needed
  Compare 82 and -98
  Swap 82 and -98
  List after swap: [-31, 36, -32, 37, 75, -98, 82, 65, 99]
  Compare 82 and 65
  Swap 82 and 65
  List after swap: [-31, 36, -32, 37, 75, -98, 65, 82, 99]

Pass 3:
  Compare -31 and 36
  No swap needed
  Compare 36 and -32
  Swap 36 and -32
  List after swap: [-31, -32, 36, 37, 75, -98, 65, 82, 99]
  Compare 36 and 37
  No swap needed
  Compare 37 and 75
  No swap needed
  Compare 75 and -98
  Swap 75 and -98
  List after swap: [-31, -32, 36, 37, -98, 75, 65, 82, 99]
  Compare 75 and 65
  Swap 75 and 65
  List after swap: [-31, -32, 36, 37, -98, 65, 75, 82, 99]

Pass 4:
  Compare -31 and -32
  Swap -31 and -32
  List after swap: [-32, -31, 36, 37, -98, 65, 75, 82, 99]
  Compare -31 and 36
  No swap needed
  Compare 36 and 37
  No swap needed
  Compare 37 and -98
  Swap 37 and -98
  List after swap: [-32, -31, 36, -98, 37, 65, 75, 82, 99]
  Compare 37 and 65
  No swap needed

Pass 5:
  Compare -32 and -31
  No swap needed
  Compare -31 and 36
  No swap needed
  Compare 36 and -98
  Swap 36 and -98
  List after swap: [-32, -31, -98, 36, 37, 65, 75, 82, 99]
  Compare 36 and 37
  No swap needed

Pass 6:
  Compare -32 and -31
  No swap needed
  Compare -31 and -98
  Swap -31 and -98
  List after swap: [-32, -98, -31, 36, 37, 65, 75, 82, 99]
  Compare -31 and 36
  No swap needed

Pass 7:
  Compare -32 and -98
  Swap -32 and -98
  List after swap: [-98, -32, -31, 36, 37, 65, 75, 82, 99]
  Compare -32 and -31
  No swap needed

Pass 8:
  Compare -98 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -32, -31, 36, 37, 65, 75, 82, 99]
</think>

<response>-98, -32, -31, 36, 37, 65, 75, 82, 99</response>


input: Sort the list -34, -85, -48, 1, 4, 70, -30, 83, -96, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-34, -85, -48, 1, 4, 70, -30, 83, -96, 58]

Pass 1:
  Compare -34 and -85
  Swap -34 and -85
  List after swap: [-85, -34, -48, 1, 4, 70, -30, 83, -96, 58]
  Compare -34 and -48
  Swap -34 and -48
  List after swap: [-85, -48, -34, 1, 4, 70, -30, 83, -96, 58]
  Compare -34 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and 70
  No swap needed
  Compare 70 and -30
  Swap 70 and -30
  List after swap: [-85, -48, -34, 1, 4, -30, 70, 83, -96, 58]
  Compare 70 and 83
  No swap needed
  Compare 83 and -96
  Swap 83 and -96
  List after swap: [-85, -48, -34, 1, 4, -30, 70, -96, 83, 58]
  Compare 83 and 58
  Swap 83 and 58
  List after swap: [-85, -48, -34, 1, 4, -30, 70, -96, 58, 83]

Pass 2:
  Compare -85 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and -30
  Swap 4 and -30
  List after swap: [-85, -48, -34, 1, -30, 4, 70, -96, 58, 83]
  Compare 4 and 70
  No swap needed
  Compare 70 and -96
  Swap 70 and -96
  List after swap: [-85, -48, -34, 1, -30, 4, -96, 70, 58, 83]
  Compare 70 and 58
  Swap 70 and 58
  List after swap: [-85, -48, -34, 1, -30, 4, -96, 58, 70, 83]

Pass 3:
  Compare -85 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and 1
  No swap needed
  Compare 1 and -30
  Swap 1 and -30
  List after swap: [-85, -48, -34, -30, 1, 4, -96, 58, 70, 83]
  Compare 1 and 4
  No swap needed
  Compare 4 and -96
  Swap 4 and -96
  List after swap: [-85, -48, -34, -30, 1, -96, 4, 58, 70, 83]
  Compare 4 and 58
  No swap needed

Pass 4:
  Compare -85 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and -30
  No swap needed
  Compare -30 and 1
  No swap needed
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-85, -48, -34, -30, -96, 1, 4, 58, 70, 83]
  Compare 1 and 4
  No swap needed

Pass 5:
  Compare -85 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and -30
  No swap needed
  Compare -30 and -96
  Swap -30 and -96
  List after swap: [-85, -48, -34, -96, -30, 1, 4, 58, 70, 83]
  Compare -30 and 1
  No swap needed

Pass 6:
  Compare -85 and -48
  No swap needed
  Compare -48 and -34
  No swap needed
  Compare -34 and -96
  Swap -34 and -96
  List after swap: [-85, -48, -96, -34, -30, 1, 4, 58, 70, 83]
  Compare -34 and -30
  No swap needed

Pass 7:
  Compare -85 and -48
  No swap needed
  Compare -48 and -96
  Swap -48 and -96
  List after swap: [-85, -96, -48, -34, -30, 1, 4, 58, 70, 83]
  Compare -48 and -34
  No swap needed

Pass 8:
  Compare -85 and -96
  Swap -85 and -96
  List after swap: [-96, -85, -48, -34, -30, 1, 4, 58, 70, 83]
  Compare -85 and -48
  No swap needed

Pass 9:
  Compare -96 and -85
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -85, -48, -34, -30, 1, 4, 58, 70, 83]
</think>

<response>-96, -85, -48, -34, -30, 1, 4, 58, 70, 83</response>


input: Sort the list -38, 13, 59, -89 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-38, 13, 59, -89]

Pass 1:
  Compare -38 and 13
  No swap needed
  Compare 13 and 59
  No swap needed
  Compare 59 and -89
  Swap 59 and -89
  List after swap: [-38, 13, -89, 59]

Pass 2:
  Compare -38 and 13
  No swap needed
  Compare 13 and -89
  Swap 13 and -89
  List after swap: [-38, -89, 13, 59]

Pass 3:
  Compare -38 and -89
  Swap -38 and -89
  List after swap: [-89, -38, 13, 59]

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

Final sorted list: [-89, -38, 13, 59]
</think>

<response>-89, -38, 13, 59</response>


input: Arrange the numbers 13, 64, -35 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [13, 64, -35]

Pass 1:
  Compare 13 and 64
  No swap needed
  Compare 64 and -35
  Swap 64 and -35
  List after swap: [13, -35, 64]

Pass 2:
  Compare 13 and -35
  Swap 13 and -35
  List after swap: [-35, 13, 64]

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

Final sorted list: [-35, 13, 64]
</think>

<response>-35, 13, 64</response>


input: Sort these integers -10, 72, 78, 11, 29, -64, 44, -84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-10, 72, 78, 11, 29, -64, 44, -84]

Pass 1:
  Compare -10 and 72
  No swap needed
  Compare 72 and 78
  No swap needed
  Compare 78 and 11
  Swap 78 and 11
  List after swap: [-10, 72, 11, 78, 29, -64, 44, -84]
  Compare 78 and 29
  Swap 78 and 29
  List after swap: [-10, 72, 11, 29, 78, -64, 44, -84]
  Compare 78 and -64
  Swap 78 and -64
  List after swap: [-10, 72, 11, 29, -64, 78, 44, -84]
  Compare 78 and 44
  Swap 78 and 44
  List after swap: [-10, 72, 11, 29, -64, 44, 78, -84]
  Compare 78 and -84
  Swap 78 and -84
  List after swap: [-10, 72, 11, 29, -64, 44, -84, 78]

Pass 2:
  Compare -10 and 72
  No swap needed
  Compare 72 and 11
  Swap 72 and 11
  List after swap: [-10, 11, 72, 29, -64, 44, -84, 78]
  Compare 72 and 29
  Swap 72 and 29
  List after swap: [-10, 11, 29, 72, -64, 44, -84, 78]
  Compare 72 and -64
  Swap 72 and -64
  List after swap: [-10, 11, 29, -64, 72, 44, -84, 78]
  Compare 72 and 44
  Swap 72 and 44
  List after swap: [-10, 11, 29, -64, 44, 72, -84, 78]
  Compare 72 and -84
  Swap 72 and -84
  List after swap: [-10, 11, 29, -64, 44, -84, 72, 78]

Pass 3:
  Compare -10 and 11
  No swap needed
  Compare 11 and 29
  No swap needed
  Compare 29 and -64
  Swap 29 and -64
  List after swap: [-10, 11, -64, 29, 44, -84, 72, 78]
  Compare 29 and 44
  No swap needed
  Compare 44 and -84
  Swap 44 and -84
  List after swap: [-10, 11, -64, 29, -84, 44, 72, 78]

Pass 4:
  Compare -10 and 11
  No swap needed
  Compare 11 and -64
  Swap 11 and -64
  List after swap: [-10, -64, 11, 29, -84, 44, 72, 78]
  Compare 11 and 29
  No swap needed
  Compare 29 and -84
  Swap 29 and -84
  List after swap: [-10, -64, 11, -84, 29, 44, 72, 78]

Pass 5:
  Compare -10 and -64
  Swap -10 and -64
  List after swap: [-64, -10, 11, -84, 29, 44, 72, 78]
  Compare -10 and 11
  No swap needed
  Compare 11 and -84
  Swap 11 and -84
  List after swap: [-64, -10, -84, 11, 29, 44, 72, 78]

Pass 6:
  Compare -64 and -10
  No swap needed
  Compare -10 and -84
  Swap -10 and -84
  List after swap: [-64, -84, -10, 11, 29, 44, 72, 78]

Pass 7:
  Compare -64 and -84
  Swap -64 and -84
  List after swap: [-84, -64, -10, 11, 29, 44, 72, 78]

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

Final sorted list: [-84, -64, -10, 11, 29, 44, 72, 78]
</think>

<response>-84, -64, -10, 11, 29, 44, 72, 78</response>


input: Sort these integers 20, 29 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [20, 29]

Pass 1:
  Compare 20 and 29
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [20, 29]
</think>

<response>20, 29</response>


input: Execute bubble sort to sort -25, 50 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-25, 50]

Pass 1:
  Compare -25 and 50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, 50]
</think>

<response>-25, 50</response>


input: Arrange the numbers -53, -71, 44, 77, 68 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-53, -71, 44, 77, 68]

Pass 1:
  Compare -53 and -71
  Swap -53 and -71
  List after swap: [-71, -53, 44, 77, 68]
  Compare -53 and 44
  No swap needed
  Compare 44 and 77
  No swap needed
  Compare 77 and 68
  Swap 77 and 68
  List after swap: [-71, -53, 44, 68, 77]

Pass 2:
  Compare -71 and -53
  No swap needed
  Compare -53 and 44
  No swap needed
  Compare 44 and 68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-71, -53, 44, 68, 77]
</think>

<response>-71, -53, 44, 68, 77</response>