input: Demonstrate how bubble sort orders the integers 16, 1, 40, 88, -77, 31, 49, -96, 64 in ascending sequence, showing all steps.

output:
<think>
Initial list: [16, 1, 40, 88, -77, 31, 49, -96, 64]

Pass 1:
  Compare 16 and 1
  Swap 16 and 1
  List after swap: [1, 16, 40, 88, -77, 31, 49, -96, 64]
  Compare 16 and 40
  No swap needed
  Compare 40 and 88
  No swap needed
  Compare 88 and -77
  Swap 88 and -77
  List after swap: [1, 16, 40, -77, 88, 31, 49, -96, 64]
  Compare 88 and 31
  Swap 88 and 31
  List after swap: [1, 16, 40, -77, 31, 88, 49, -96, 64]
  Compare 88 and 49
  Swap 88 and 49
  List after swap: [1, 16, 40, -77, 31, 49, 88, -96, 64]
  Compare 88 and -96
  Swap 88 and -96
  List after swap: [1, 16, 40, -77, 31, 49, -96, 88, 64]
  Compare 88 and 64
  Swap 88 and 64
  List after swap: [1, 16, 40, -77, 31, 49, -96, 64, 88]

Pass 2:
  Compare 1 and 16
  No swap needed
  Compare 16 and 40
  No swap needed
  Compare 40 and -77
  Swap 40 and -77
  List after swap: [1, 16, -77, 40, 31, 49, -96, 64, 88]
  Compare 40 and 31
  Swap 40 and 31
  List after swap: [1, 16, -77, 31, 40, 49, -96, 64, 88]
  Compare 40 and 49
  No swap needed
  Compare 49 and -96
  Swap 49 and -96
  List after swap: [1, 16, -77, 31, 40, -96, 49, 64, 88]
  Compare 49 and 64
  No swap needed

Pass 3:
  Compare 1 and 16
  No swap needed
  Compare 16 and -77
  Swap 16 and -77
  List after swap: [1, -77, 16, 31, 40, -96, 49, 64, 88]
  Compare 16 and 31
  No swap needed
  Compare 31 and 40
  No swap needed
  Compare 40 and -96
  Swap 40 and -96
  List after swap: [1, -77, 16, 31, -96, 40, 49, 64, 88]
  Compare 40 and 49
  No swap needed

Pass 4:
  Compare 1 and -77
  Swap 1 and -77
  List after swap: [-77, 1, 16, 31, -96, 40, 49, 64, 88]
  Compare 1 and 16
  No swap needed
  Compare 16 and 31
  No swap needed
  Compare 31 and -96
  Swap 31 and -96
  List after swap: [-77, 1, 16, -96, 31, 40, 49, 64, 88]
  Compare 31 and 40
  No swap needed

Pass 5:
  Compare -77 and 1
  No swap needed
  Compare 1 and 16
  No swap needed
  Compare 16 and -96
  Swap 16 and -96
  List after swap: [-77, 1, -96, 16, 31, 40, 49, 64, 88]
  Compare 16 and 31
  No swap needed

Pass 6:
  Compare -77 and 1
  No swap needed
  Compare 1 and -96
  Swap 1 and -96
  List after swap: [-77, -96, 1, 16, 31, 40, 49, 64, 88]
  Compare 1 and 16
  No swap needed

Pass 7:
  Compare -77 and -96
  Swap -77 and -96
  List after swap: [-96, -77, 1, 16, 31, 40, 49, 64, 88]
  Compare -77 and 1
  No swap needed

Pass 8:
  Compare -96 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -77, 1, 16, 31, 40, 49, 64, 88]
</think>

<response>-96, -77, 1, 16, 31, 40, 49, 64, 88</response>


input: Sort the list 30, -48, 72, 13 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [30, -48, 72, 13]

Pass 1:
  Compare 30 and -48
  Swap 30 and -48
  List after swap: [-48, 30, 72, 13]
  Compare 30 and 72
  No swap needed
  Compare 72 and 13
  Swap 72 and 13
  List after swap: [-48, 30, 13, 72]

Pass 2:
  Compare -48 and 30
  No swap needed
  Compare 30 and 13
  Swap 30 and 13
  List after swap: [-48, 13, 30, 72]

Pass 3:
  Compare -48 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-48, 13, 30, 72]
</think>

<response>-48, 13, 30, 72</response>


input: Perform a bubble sort on the integers -17, 33, 41, -99, 60, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-17, 33, 41, -99, 60]

Pass 1:
  Compare -17 and 33
  No swap needed
  Compare 33 and 41
  No swap needed
  Compare 41 and -99
  Swap 41 and -99
  List after swap: [-17, 33, -99, 41, 60]
  Compare 41 and 60
  No swap needed

Pass 2:
  Compare -17 and 33
  No swap needed
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-17, -99, 33, 41, 60]
  Compare 33 and 41
  No swap needed

Pass 3:
  Compare -17 and -99
  Swap -17 and -99
  List after swap: [-99, -17, 33, 41, 60]
  Compare -17 and 33
  No swap needed

Pass 4:
  Compare -99 and -17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -17, 33, 41, 60]
</think>

<response>-99, -17, 33, 41, 60</response>


input: Arrange the numbers 73, 80, 5, -73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [73, 80, 5, -73]

Pass 1:
  Compare 73 and 80
  No swap needed
  Compare 80 and 5
  Swap 80 and 5
  List after swap: [73, 5, 80, -73]
  Compare 80 and -73
  Swap 80 and -73
  List after swap: [73, 5, -73, 80]

Pass 2:
  Compare 73 and 5
  Swap 73 and 5
  List after swap: [5, 73, -73, 80]
  Compare 73 and -73
  Swap 73 and -73
  List after swap: [5, -73, 73, 80]

Pass 3:
  Compare 5 and -73
  Swap 5 and -73
  List after swap: [-73, 5, 73, 80]

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

Final sorted list: [-73, 5, 73, 80]
</think>

<response>-73, 5, 73, 80</response>


input: Use the bubble sort technique to reorder -53, 27, -91, 53, -51 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-53, 27, -91, 53, -51]

Pass 1:
  Compare -53 and 27
  No swap needed
  Compare 27 and -91
  Swap 27 and -91
  List after swap: [-53, -91, 27, 53, -51]
  Compare 27 and 53
  No swap needed
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-53, -91, 27, -51, 53]

Pass 2:
  Compare -53 and -91
  Swap -53 and -91
  List after swap: [-91, -53, 27, -51, 53]
  Compare -53 and 27
  No swap needed
  Compare 27 and -51
  Swap 27 and -51
  List after swap: [-91, -53, -51, 27, 53]

Pass 3:
  Compare -91 and -53
  No swap needed
  Compare -53 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -53, -51, 27, 53]
</think>

<response>-91, -53, -51, 27, 53</response>


input: Arrange the numbers -19, 45, -79, 92, -61 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-19, 45, -79, 92, -61]

Pass 1:
  Compare -19 and 45
  No swap needed
  Compare 45 and -79
  Swap 45 and -79
  List after swap: [-19, -79, 45, 92, -61]
  Compare 45 and 92
  No swap needed
  Compare 92 and -61
  Swap 92 and -61
  List after swap: [-19, -79, 45, -61, 92]

Pass 2:
  Compare -19 and -79
  Swap -19 and -79
  List after swap: [-79, -19, 45, -61, 92]
  Compare -19 and 45
  No swap needed
  Compare 45 and -61
  Swap 45 and -61
  List after swap: [-79, -19, -61, 45, 92]

Pass 3:
  Compare -79 and -19
  No swap needed
  Compare -19 and -61
  Swap -19 and -61
  List after swap: [-79, -61, -19, 45, 92]

Pass 4:
  Compare -79 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -61, -19, 45, 92]
</think>

<response>-79, -61, -19, 45, 92</response>


input: Execute bubble sort to sort 17, 46, -22, -58, -47 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [17, 46, -22, -58, -47]

Pass 1:
  Compare 17 and 46
  No swap needed
  Compare 46 and -22
  Swap 46 and -22
  List after swap: [17, -22, 46, -58, -47]
  Compare 46 and -58
  Swap 46 and -58
  List after swap: [17, -22, -58, 46, -47]
  Compare 46 and -47
  Swap 46 and -47
  List after swap: [17, -22, -58, -47, 46]

Pass 2:
  Compare 17 and -22
  Swap 17 and -22
  List after swap: [-22, 17, -58, -47, 46]
  Compare 17 and -58
  Swap 17 and -58
  List after swap: [-22, -58, 17, -47, 46]
  Compare 17 and -47
  Swap 17 and -47
  List after swap: [-22, -58, -47, 17, 46]

Pass 3:
  Compare -22 and -58
  Swap -22 and -58
  List after swap: [-58, -22, -47, 17, 46]
  Compare -22 and -47
  Swap -22 and -47
  List after swap: [-58, -47, -22, 17, 46]

Pass 4:
  Compare -58 and -47
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -47, -22, 17, 46]
</think>

<response>-58, -47, -22, 17, 46</response>


input: Execute bubble sort to sort 48, -66, -7, 77, 9, -94 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [48, -66, -7, 77, 9, -94]

Pass 1:
  Compare 48 and -66
  Swap 48 and -66
  List after swap: [-66, 48, -7, 77, 9, -94]
  Compare 48 and -7
  Swap 48 and -7
  List after swap: [-66, -7, 48, 77, 9, -94]
  Compare 48 and 77
  No swap needed
  Compare 77 and 9
  Swap 77 and 9
  List after swap: [-66, -7, 48, 9, 77, -94]
  Compare 77 and -94
  Swap 77 and -94
  List after swap: [-66, -7, 48, 9, -94, 77]

Pass 2:
  Compare -66 and -7
  No swap needed
  Compare -7 and 48
  No swap needed
  Compare 48 and 9
  Swap 48 and 9
  List after swap: [-66, -7, 9, 48, -94, 77]
  Compare 48 and -94
  Swap 48 and -94
  List after swap: [-66, -7, 9, -94, 48, 77]

Pass 3:
  Compare -66 and -7
  No swap needed
  Compare -7 and 9
  No swap needed
  Compare 9 and -94
  Swap 9 and -94
  List after swap: [-66, -7, -94, 9, 48, 77]

Pass 4:
  Compare -66 and -7
  No swap needed
  Compare -7 and -94
  Swap -7 and -94
  List after swap: [-66, -94, -7, 9, 48, 77]

Pass 5:
  Compare -66 and -94
  Swap -66 and -94
  List after swap: [-94, -66, -7, 9, 48, 77]

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

Final sorted list: [-94, -66, -7, 9, 48, 77]
</think>

<response>-94, -66, -7, 9, 48, 77</response>


input: Use the bubble sort technique to reorder -76, 50, -96, -91, 28, -57, 71, 57, -49 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-76, 50, -96, -91, 28, -57, 71, 57, -49]

Pass 1:
  Compare -76 and 50
  No swap needed
  Compare 50 and -96
  Swap 50 and -96
  List after swap: [-76, -96, 50, -91, 28, -57, 71, 57, -49]
  Compare 50 and -91
  Swap 50 and -91
  List after swap: [-76, -96, -91, 50, 28, -57, 71, 57, -49]
  Compare 50 and 28
  Swap 50 and 28
  List after swap: [-76, -96, -91, 28, 50, -57, 71, 57, -49]
  Compare 50 and -57
  Swap 50 and -57
  List after swap: [-76, -96, -91, 28, -57, 50, 71, 57, -49]
  Compare 50 and 71
  No swap needed
  Compare 71 and 57
  Swap 71 and 57
  List after swap: [-76, -96, -91, 28, -57, 50, 57, 71, -49]
  Compare 71 and -49
  Swap 71 and -49
  List after swap: [-76, -96, -91, 28, -57, 50, 57, -49, 71]

Pass 2:
  Compare -76 and -96
  Swap -76 and -96
  List after swap: [-96, -76, -91, 28, -57, 50, 57, -49, 71]
  Compare -76 and -91
  Swap -76 and -91
  List after swap: [-96, -91, -76, 28, -57, 50, 57, -49, 71]
  Compare -76 and 28
  No swap needed
  Compare 28 and -57
  Swap 28 and -57
  List after swap: [-96, -91, -76, -57, 28, 50, 57, -49, 71]
  Compare 28 and 50
  No swap needed
  Compare 50 and 57
  No swap needed
  Compare 57 and -49
  Swap 57 and -49
  List after swap: [-96, -91, -76, -57, 28, 50, -49, 57, 71]

Pass 3:
  Compare -96 and -91
  No swap needed
  Compare -91 and -76
  No swap needed
  Compare -76 and -57
  No swap needed
  Compare -57 and 28
  No swap needed
  Compare 28 and 50
  No swap needed
  Compare 50 and -49
  Swap 50 and -49
  List after swap: [-96, -91, -76, -57, 28, -49, 50, 57, 71]

Pass 4:
  Compare -96 and -91
  No swap needed
  Compare -91 and -76
  No swap needed
  Compare -76 and -57
  No swap needed
  Compare -57 and 28
  No swap needed
  Compare 28 and -49
  Swap 28 and -49
  List after swap: [-96, -91, -76, -57, -49, 28, 50, 57, 71]

Pass 5:
  Compare -96 and -91
  No swap needed
  Compare -91 and -76
  No swap needed
  Compare -76 and -57
  No swap needed
  Compare -57 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -91, -76, -57, -49, 28, 50, 57, 71]
</think>

<response>-96, -91, -76, -57, -49, 28, 50, 57, 71</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 31, -7, -53.

output:
<think>
Initial list: [31, -7, -53]

Pass 1:
  Compare 31 and -7
  Swap 31 and -7
  List after swap: [-7, 31, -53]
  Compare 31 and -53
  Swap 31 and -53
  List after swap: [-7, -53, 31]

Pass 2:
  Compare -7 and -53
  Swap -7 and -53
  List after swap: [-53, -7, 31]

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

Final sorted list: [-53, -7, 31]
</think>

<response>-53, -7, 31</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 41, -53, 26, 61, -100, -94, 40, 24, -68.

output:
<think>
Initial list: [41, -53, 26, 61, -100, -94, 40, 24, -68]

Pass 1:
  Compare 41 and -53
  Swap 41 and -53
  List after swap: [-53, 41, 26, 61, -100, -94, 40, 24, -68]
  Compare 41 and 26
  Swap 41 and 26
  List after swap: [-53, 26, 41, 61, -100, -94, 40, 24, -68]
  Compare 41 and 61
  No swap needed
  Compare 61 and -100
  Swap 61 and -100
  List after swap: [-53, 26, 41, -100, 61, -94, 40, 24, -68]
  Compare 61 and -94
  Swap 61 and -94
  List after swap: [-53, 26, 41, -100, -94, 61, 40, 24, -68]
  Compare 61 and 40
  Swap 61 and 40
  List after swap: [-53, 26, 41, -100, -94, 40, 61, 24, -68]
  Compare 61 and 24
  Swap 61 and 24
  List after swap: [-53, 26, 41, -100, -94, 40, 24, 61, -68]
  Compare 61 and -68
  Swap 61 and -68
  List after swap: [-53, 26, 41, -100, -94, 40, 24, -68, 61]

Pass 2:
  Compare -53 and 26
  No swap needed
  Compare 26 and 41
  No swap needed
  Compare 41 and -100
  Swap 41 and -100
  List after swap: [-53, 26, -100, 41, -94, 40, 24, -68, 61]
  Compare 41 and -94
  Swap 41 and -94
  List after swap: [-53, 26, -100, -94, 41, 40, 24, -68, 61]
  Compare 41 and 40
  Swap 41 and 40
  List after swap: [-53, 26, -100, -94, 40, 41, 24, -68, 61]
  Compare 41 and 24
  Swap 41 and 24
  List after swap: [-53, 26, -100, -94, 40, 24, 41, -68, 61]
  Compare 41 and -68
  Swap 41 and -68
  List after swap: [-53, 26, -100, -94, 40, 24, -68, 41, 61]

Pass 3:
  Compare -53 and 26
  No swap needed
  Compare 26 and -100
  Swap 26 and -100
  List after swap: [-53, -100, 26, -94, 40, 24, -68, 41, 61]
  Compare 26 and -94
  Swap 26 and -94
  List after swap: [-53, -100, -94, 26, 40, 24, -68, 41, 61]
  Compare 26 and 40
  No swap needed
  Compare 40 and 24
  Swap 40 and 24
  List after swap: [-53, -100, -94, 26, 24, 40, -68, 41, 61]
  Compare 40 and -68
  Swap 40 and -68
  List after swap: [-53, -100, -94, 26, 24, -68, 40, 41, 61]

Pass 4:
  Compare -53 and -100
  Swap -53 and -100
  List after swap: [-100, -53, -94, 26, 24, -68, 40, 41, 61]
  Compare -53 and -94
  Swap -53 and -94
  List after swap: [-100, -94, -53, 26, 24, -68, 40, 41, 61]
  Compare -53 and 26
  No swap needed
  Compare 26 and 24
  Swap 26 and 24
  List after swap: [-100, -94, -53, 24, 26, -68, 40, 41, 61]
  Compare 26 and -68
  Swap 26 and -68
  List after swap: [-100, -94, -53, 24, -68, 26, 40, 41, 61]

Pass 5:
  Compare -100 and -94
  No swap needed
  Compare -94 and -53
  No swap needed
  Compare -53 and 24
  No swap needed
  Compare 24 and -68
  Swap 24 and -68
  List after swap: [-100, -94, -53, -68, 24, 26, 40, 41, 61]

Pass 6:
  Compare -100 and -94
  No swap needed
  Compare -94 and -53
  No swap needed
  Compare -53 and -68
  Swap -53 and -68
  List after swap: [-100, -94, -68, -53, 24, 26, 40, 41, 61]

Pass 7:
  Compare -100 and -94
  No swap needed
  Compare -94 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -94, -68, -53, 24, 26, 40, 41, 61]
</think>

<response>-100, -94, -68, -53, 24, 26, 40, 41, 61</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -25, -30, -99, 77.

output:
<think>
Initial list: [-25, -30, -99, 77]

Pass 1:
  Compare -25 and -30
  Swap -25 and -30
  List after swap: [-30, -25, -99, 77]
  Compare -25 and -99
  Swap -25 and -99
  List after swap: [-30, -99, -25, 77]
  Compare -25 and 77
  No swap needed

Pass 2:
  Compare -30 and -99
  Swap -30 and -99
  List after swap: [-99, -30, -25, 77]
  Compare -30 and -25
  No swap needed

Pass 3:
  Compare -99 and -30
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -30, -25, 77]
</think>

<response>-99, -30, -25, 77</response>


input: Execute bubble sort to sort 57, 66, -36, 63, -26, -34, 81, 50, 78 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [57, 66, -36, 63, -26, -34, 81, 50, 78]

Pass 1:
  Compare 57 and 66
  No swap needed
  Compare 66 and -36
  Swap 66 and -36
  List after swap: [57, -36, 66, 63, -26, -34, 81, 50, 78]
  Compare 66 and 63
  Swap 66 and 63
  List after swap: [57, -36, 63, 66, -26, -34, 81, 50, 78]
  Compare 66 and -26
  Swap 66 and -26
  List after swap: [57, -36, 63, -26, 66, -34, 81, 50, 78]
  Compare 66 and -34
  Swap 66 and -34
  List after swap: [57, -36, 63, -26, -34, 66, 81, 50, 78]
  Compare 66 and 81
  No swap needed
  Compare 81 and 50
  Swap 81 and 50
  List after swap: [57, -36, 63, -26, -34, 66, 50, 81, 78]
  Compare 81 and 78
  Swap 81 and 78
  List after swap: [57, -36, 63, -26, -34, 66, 50, 78, 81]

Pass 2:
  Compare 57 and -36
  Swap 57 and -36
  List after swap: [-36, 57, 63, -26, -34, 66, 50, 78, 81]
  Compare 57 and 63
  No swap needed
  Compare 63 and -26
  Swap 63 and -26
  List after swap: [-36, 57, -26, 63, -34, 66, 50, 78, 81]
  Compare 63 and -34
  Swap 63 and -34
  List after swap: [-36, 57, -26, -34, 63, 66, 50, 78, 81]
  Compare 63 and 66
  No swap needed
  Compare 66 and 50
  Swap 66 and 50
  List after swap: [-36, 57, -26, -34, 63, 50, 66, 78, 81]
  Compare 66 and 78
  No swap needed

Pass 3:
  Compare -36 and 57
  No swap needed
  Compare 57 and -26
  Swap 57 and -26
  List after swap: [-36, -26, 57, -34, 63, 50, 66, 78, 81]
  Compare 57 and -34
  Swap 57 and -34
  List after swap: [-36, -26, -34, 57, 63, 50, 66, 78, 81]
  Compare 57 and 63
  No swap needed
  Compare 63 and 50
  Swap 63 and 50
  List after swap: [-36, -26, -34, 57, 50, 63, 66, 78, 81]
  Compare 63 and 66
  No swap needed

Pass 4:
  Compare -36 and -26
  No swap needed
  Compare -26 and -34
  Swap -26 and -34
  List after swap: [-36, -34, -26, 57, 50, 63, 66, 78, 81]
  Compare -26 and 57
  No swap needed
  Compare 57 and 50
  Swap 57 and 50
  List after swap: [-36, -34, -26, 50, 57, 63, 66, 78, 81]
  Compare 57 and 63
  No swap needed

Pass 5:
  Compare -36 and -34
  No swap needed
  Compare -34 and -26
  No swap needed
  Compare -26 and 50
  No swap needed
  Compare 50 and 57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-36, -34, -26, 50, 57, 63, 66, 78, 81]
</think>

<response>-36, -34, -26, 50, 57, 63, 66, 78, 81</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -98, -31, -64.

output:
<think>
Initial list: [-98, -31, -64]

Pass 1:
  Compare -98 and -31
  No swap needed
  Compare -31 and -64
  Swap -31 and -64
  List after swap: [-98, -64, -31]

Pass 2:
  Compare -98 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -64, -31]
</think>

<response>-98, -64, -31</response>


input: Use the bubble sort technique to reorder 42, 83, -78, -89, 17, -55, 29 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [42, 83, -78, -89, 17, -55, 29]

Pass 1:
  Compare 42 and 83
  No swap needed
  Compare 83 and -78
  Swap 83 and -78
  List after swap: [42, -78, 83, -89, 17, -55, 29]
  Compare 83 and -89
  Swap 83 and -89
  List after swap: [42, -78, -89, 83, 17, -55, 29]
  Compare 83 and 17
  Swap 83 and 17
  List after swap: [42, -78, -89, 17, 83, -55, 29]
  Compare 83 and -55
  Swap 83 and -55
  List after swap: [42, -78, -89, 17, -55, 83, 29]
  Compare 83 and 29
  Swap 83 and 29
  List after swap: [42, -78, -89, 17, -55, 29, 83]

Pass 2:
  Compare 42 and -78
  Swap 42 and -78
  List after swap: [-78, 42, -89, 17, -55, 29, 83]
  Compare 42 and -89
  Swap 42 and -89
  List after swap: [-78, -89, 42, 17, -55, 29, 83]
  Compare 42 and 17
  Swap 42 and 17
  List after swap: [-78, -89, 17, 42, -55, 29, 83]
  Compare 42 and -55
  Swap 42 and -55
  List after swap: [-78, -89, 17, -55, 42, 29, 83]
  Compare 42 and 29
  Swap 42 and 29
  List after swap: [-78, -89, 17, -55, 29, 42, 83]

Pass 3:
  Compare -78 and -89
  Swap -78 and -89
  List after swap: [-89, -78, 17, -55, 29, 42, 83]
  Compare -78 and 17
  No swap needed
  Compare 17 and -55
  Swap 17 and -55
  List after swap: [-89, -78, -55, 17, 29, 42, 83]
  Compare 17 and 29
  No swap needed

Pass 4:
  Compare -89 and -78
  No swap needed
  Compare -78 and -55
  No swap needed
  Compare -55 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -78, -55, 17, 29, 42, 83]
</think>

<response>-89, -78, -55, 17, 29, 42, 83</response>


input: Sort the list 20, -53, -90, -92, -87, 64, -32, -5, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [20, -53, -90, -92, -87, 64, -32, -5, 58]

Pass 1:
  Compare 20 and -53
  Swap 20 and -53
  List after swap: [-53, 20, -90, -92, -87, 64, -32, -5, 58]
  Compare 20 and -90
  Swap 20 and -90
  List after swap: [-53, -90, 20, -92, -87, 64, -32, -5, 58]
  Compare 20 and -92
  Swap 20 and -92
  List after swap: [-53, -90, -92, 20, -87, 64, -32, -5, 58]
  Compare 20 and -87
  Swap 20 and -87
  List after swap: [-53, -90, -92, -87, 20, 64, -32, -5, 58]
  Compare 20 and 64
  No swap needed
  Compare 64 and -32
  Swap 64 and -32
  List after swap: [-53, -90, -92, -87, 20, -32, 64, -5, 58]
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [-53, -90, -92, -87, 20, -32, -5, 64, 58]
  Compare 64 and 58
  Swap 64 and 58
  List after swap: [-53, -90, -92, -87, 20, -32, -5, 58, 64]

Pass 2:
  Compare -53 and -90
  Swap -53 and -90
  List after swap: [-90, -53, -92, -87, 20, -32, -5, 58, 64]
  Compare -53 and -92
  Swap -53 and -92
  List after swap: [-90, -92, -53, -87, 20, -32, -5, 58, 64]
  Compare -53 and -87
  Swap -53 and -87
  List after swap: [-90, -92, -87, -53, 20, -32, -5, 58, 64]
  Compare -53 and 20
  No swap needed
  Compare 20 and -32
  Swap 20 and -32
  List after swap: [-90, -92, -87, -53, -32, 20, -5, 58, 64]
  Compare 20 and -5
  Swap 20 and -5
  List after swap: [-90, -92, -87, -53, -32, -5, 20, 58, 64]
  Compare 20 and 58
  No swap needed

Pass 3:
  Compare -90 and -92
  Swap -90 and -92
  List after swap: [-92, -90, -87, -53, -32, -5, 20, 58, 64]
  Compare -90 and -87
  No swap needed
  Compare -87 and -53
  No swap needed
  Compare -53 and -32
  No swap needed
  Compare -32 and -5
  No swap needed
  Compare -5 and 20
  No swap needed

Pass 4:
  Compare -92 and -90
  No swap needed
  Compare -90 and -87
  No swap needed
  Compare -87 and -53
  No swap needed
  Compare -53 and -32
  No swap needed
  Compare -32 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -90, -87, -53, -32, -5, 20, 58, 64]
</think>

<response>-92, -90, -87, -53, -32, -5, 20, 58, 64</response>


input: Using the bubble sort method, sort 78, -88, -26 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [78, -88, -26]

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

Pass 2:
  Compare -88 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -26, 78]
</think>

<response>-88, -26, 78</response>


input: Using the bubble sort method, sort 80, -19, 12, -11, 41, 8, 61, -77, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [80, -19, 12, -11, 41, 8, 61, -77, 51]

Pass 1:
  Compare 80 and -19
  Swap 80 and -19
  List after swap: [-19, 80, 12, -11, 41, 8, 61, -77, 51]
  Compare 80 and 12
  Swap 80 and 12
  List after swap: [-19, 12, 80, -11, 41, 8, 61, -77, 51]
  Compare 80 and -11
  Swap 80 and -11
  List after swap: [-19, 12, -11, 80, 41, 8, 61, -77, 51]
  Compare 80 and 41
  Swap 80 and 41
  List after swap: [-19, 12, -11, 41, 80, 8, 61, -77, 51]
  Compare 80 and 8
  Swap 80 and 8
  List after swap: [-19, 12, -11, 41, 8, 80, 61, -77, 51]
  Compare 80 and 61
  Swap 80 and 61
  List after swap: [-19, 12, -11, 41, 8, 61, 80, -77, 51]
  Compare 80 and -77
  Swap 80 and -77
  List after swap: [-19, 12, -11, 41, 8, 61, -77, 80, 51]
  Compare 80 and 51
  Swap 80 and 51
  List after swap: [-19, 12, -11, 41, 8, 61, -77, 51, 80]

Pass 2:
  Compare -19 and 12
  No swap needed
  Compare 12 and -11
  Swap 12 and -11
  List after swap: [-19, -11, 12, 41, 8, 61, -77, 51, 80]
  Compare 12 and 41
  No swap needed
  Compare 41 and 8
  Swap 41 and 8
  List after swap: [-19, -11, 12, 8, 41, 61, -77, 51, 80]
  Compare 41 and 61
  No swap needed
  Compare 61 and -77
  Swap 61 and -77
  List after swap: [-19, -11, 12, 8, 41, -77, 61, 51, 80]
  Compare 61 and 51
  Swap 61 and 51
  List after swap: [-19, -11, 12, 8, 41, -77, 51, 61, 80]

Pass 3:
  Compare -19 and -11
  No swap needed
  Compare -11 and 12
  No swap needed
  Compare 12 and 8
  Swap 12 and 8
  List after swap: [-19, -11, 8, 12, 41, -77, 51, 61, 80]
  Compare 12 and 41
  No swap needed
  Compare 41 and -77
  Swap 41 and -77
  List after swap: [-19, -11, 8, 12, -77, 41, 51, 61, 80]
  Compare 41 and 51
  No swap needed

Pass 4:
  Compare -19 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and 12
  No swap needed
  Compare 12 and -77
  Swap 12 and -77
  List after swap: [-19, -11, 8, -77, 12, 41, 51, 61, 80]
  Compare 12 and 41
  No swap needed

Pass 5:
  Compare -19 and -11
  No swap needed
  Compare -11 and 8
  No swap needed
  Compare 8 and -77
  Swap 8 and -77
  List after swap: [-19, -11, -77, 8, 12, 41, 51, 61, 80]
  Compare 8 and 12
  No swap needed

Pass 6:
  Compare -19 and -11
  No swap needed
  Compare -11 and -77
  Swap -11 and -77
  List after swap: [-19, -77, -11, 8, 12, 41, 51, 61, 80]
  Compare -11 and 8
  No swap needed

Pass 7:
  Compare -19 and -77
  Swap -19 and -77
  List after swap: [-77, -19, -11, 8, 12, 41, 51, 61, 80]
  Compare -19 and -11
  No swap needed

Pass 8:
  Compare -77 and -19
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -19, -11, 8, 12, 41, 51, 61, 80]
</think>

<response>-77, -19, -11, 8, 12, 41, 51, 61, 80</response>


input: Execute bubble sort to sort 18, 69, -68, 64, 61, 11, -46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [18, 69, -68, 64, 61, 11, -46]

Pass 1:
  Compare 18 and 69
  No swap needed
  Compare 69 and -68
  Swap 69 and -68
  List after swap: [18, -68, 69, 64, 61, 11, -46]
  Compare 69 and 64
  Swap 69 and 64
  List after swap: [18, -68, 64, 69, 61, 11, -46]
  Compare 69 and 61
  Swap 69 and 61
  List after swap: [18, -68, 64, 61, 69, 11, -46]
  Compare 69 and 11
  Swap 69 and 11
  List after swap: [18, -68, 64, 61, 11, 69, -46]
  Compare 69 and -46
  Swap 69 and -46
  List after swap: [18, -68, 64, 61, 11, -46, 69]

Pass 2:
  Compare 18 and -68
  Swap 18 and -68
  List after swap: [-68, 18, 64, 61, 11, -46, 69]
  Compare 18 and 64
  No swap needed
  Compare 64 and 61
  Swap 64 and 61
  List after swap: [-68, 18, 61, 64, 11, -46, 69]
  Compare 64 and 11
  Swap 64 and 11
  List after swap: [-68, 18, 61, 11, 64, -46, 69]
  Compare 64 and -46
  Swap 64 and -46
  List after swap: [-68, 18, 61, 11, -46, 64, 69]

Pass 3:
  Compare -68 and 18
  No swap needed
  Compare 18 and 61
  No swap needed
  Compare 61 and 11
  Swap 61 and 11
  List after swap: [-68, 18, 11, 61, -46, 64, 69]
  Compare 61 and -46
  Swap 61 and -46
  List after swap: [-68, 18, 11, -46, 61, 64, 69]

Pass 4:
  Compare -68 and 18
  No swap needed
  Compare 18 and 11
  Swap 18 and 11
  List after swap: [-68, 11, 18, -46, 61, 64, 69]
  Compare 18 and -46
  Swap 18 and -46
  List after swap: [-68, 11, -46, 18, 61, 64, 69]

Pass 5:
  Compare -68 and 11
  No swap needed
  Compare 11 and -46
  Swap 11 and -46
  List after swap: [-68, -46, 11, 18, 61, 64, 69]

Pass 6:
  Compare -68 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -46, 11, 18, 61, 64, 69]
</think>

<response>-68, -46, 11, 18, 61, 64, 69</response>


input: Sort these integers -82, 1, 87, -87, -100, -83, 89, -79, 16, -61 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-82, 1, 87, -87, -100, -83, 89, -79, 16, -61]

Pass 1:
  Compare -82 and 1
  No swap needed
  Compare 1 and 87
  No swap needed
  Compare 87 and -87
  Swap 87 and -87
  List after swap: [-82, 1, -87, 87, -100, -83, 89, -79, 16, -61]
  Compare 87 and -100
  Swap 87 and -100
  List after swap: [-82, 1, -87, -100, 87, -83, 89, -79, 16, -61]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [-82, 1, -87, -100, -83, 87, 89, -79, 16, -61]
  Compare 87 and 89
  No swap needed
  Compare 89 and -79
  Swap 89 and -79
  List after swap: [-82, 1, -87, -100, -83, 87, -79, 89, 16, -61]
  Compare 89 and 16
  Swap 89 and 16
  List after swap: [-82, 1, -87, -100, -83, 87, -79, 16, 89, -61]
  Compare 89 and -61
  Swap 89 and -61
  List after swap: [-82, 1, -87, -100, -83, 87, -79, 16, -61, 89]

Pass 2:
  Compare -82 and 1
  No swap needed
  Compare 1 and -87
  Swap 1 and -87
  List after swap: [-82, -87, 1, -100, -83, 87, -79, 16, -61, 89]
  Compare 1 and -100
  Swap 1 and -100
  List after swap: [-82, -87, -100, 1, -83, 87, -79, 16, -61, 89]
  Compare 1 and -83
  Swap 1 and -83
  List after swap: [-82, -87, -100, -83, 1, 87, -79, 16, -61, 89]
  Compare 1 and 87
  No swap needed
  Compare 87 and -79
  Swap 87 and -79
  List after swap: [-82, -87, -100, -83, 1, -79, 87, 16, -61, 89]
  Compare 87 and 16
  Swap 87 and 16
  List after swap: [-82, -87, -100, -83, 1, -79, 16, 87, -61, 89]
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [-82, -87, -100, -83, 1, -79, 16, -61, 87, 89]

Pass 3:
  Compare -82 and -87
  Swap -82 and -87
  List after swap: [-87, -82, -100, -83, 1, -79, 16, -61, 87, 89]
  Compare -82 and -100
  Swap -82 and -100
  List after swap: [-87, -100, -82, -83, 1, -79, 16, -61, 87, 89]
  Compare -82 and -83
  Swap -82 and -83
  List after swap: [-87, -100, -83, -82, 1, -79, 16, -61, 87, 89]
  Compare -82 and 1
  No swap needed
  Compare 1 and -79
  Swap 1 and -79
  List after swap: [-87, -100, -83, -82, -79, 1, 16, -61, 87, 89]
  Compare 1 and 16
  No swap needed
  Compare 16 and -61
  Swap 16 and -61
  List after swap: [-87, -100, -83, -82, -79, 1, -61, 16, 87, 89]

Pass 4:
  Compare -87 and -100
  Swap -87 and -100
  List after swap: [-100, -87, -83, -82, -79, 1, -61, 16, 87, 89]
  Compare -87 and -83
  No swap needed
  Compare -83 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and 1
  No swap needed
  Compare 1 and -61
  Swap 1 and -61
  List after swap: [-100, -87, -83, -82, -79, -61, 1, 16, 87, 89]

Pass 5:
  Compare -100 and -87
  No swap needed
  Compare -87 and -83
  No swap needed
  Compare -83 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and -61
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -87, -83, -82, -79, -61, 1, 16, 87, 89]
</think>

<response>-100, -87, -83, -82, -79, -61, 1, 16, 87, 89</response>


input: Arrange the numbers -6, -63, 76, 61, -50, -62, 8 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-6, -63, 76, 61, -50, -62, 8]

Pass 1:
  Compare -6 and -63
  Swap -6 and -63
  List after swap: [-63, -6, 76, 61, -50, -62, 8]
  Compare -6 and 76
  No swap needed
  Compare 76 and 61
  Swap 76 and 61
  List after swap: [-63, -6, 61, 76, -50, -62, 8]
  Compare 76 and -50
  Swap 76 and -50
  List after swap: [-63, -6, 61, -50, 76, -62, 8]
  Compare 76 and -62
  Swap 76 and -62
  List after swap: [-63, -6, 61, -50, -62, 76, 8]
  Compare 76 and 8
  Swap 76 and 8
  List after swap: [-63, -6, 61, -50, -62, 8, 76]

Pass 2:
  Compare -63 and -6
  No swap needed
  Compare -6 and 61
  No swap needed
  Compare 61 and -50
  Swap 61 and -50
  List after swap: [-63, -6, -50, 61, -62, 8, 76]
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-63, -6, -50, -62, 61, 8, 76]
  Compare 61 and 8
  Swap 61 and 8
  List after swap: [-63, -6, -50, -62, 8, 61, 76]

Pass 3:
  Compare -63 and -6
  No swap needed
  Compare -6 and -50
  Swap -6 and -50
  List after swap: [-63, -50, -6, -62, 8, 61, 76]
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-63, -50, -62, -6, 8, 61, 76]
  Compare -6 and 8
  No swap needed

Pass 4:
  Compare -63 and -50
  No swap needed
  Compare -50 and -62
  Swap -50 and -62
  List after swap: [-63, -62, -50, -6, 8, 61, 76]
  Compare -50 and -6
  No swap needed

Pass 5:
  Compare -63 and -62
  No swap needed
  Compare -62 and -50
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, -62, -50, -6, 8, 61, 76]
</think>

<response>-63, -62, -50, -6, 8, 61, 76</response>


input: Using the bubble sort method, sort -12, 11, 23, -89, 16 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-12, 11, 23, -89, 16]

Pass 1:
  Compare -12 and 11
  No swap needed
  Compare 11 and 23
  No swap needed
  Compare 23 and -89
  Swap 23 and -89
  List after swap: [-12, 11, -89, 23, 16]
  Compare 23 and 16
  Swap 23 and 16
  List after swap: [-12, 11, -89, 16, 23]

Pass 2:
  Compare -12 and 11
  No swap needed
  Compare 11 and -89
  Swap 11 and -89
  List after swap: [-12, -89, 11, 16, 23]
  Compare 11 and 16
  No swap needed

Pass 3:
  Compare -12 and -89
  Swap -12 and -89
  List after swap: [-89, -12, 11, 16, 23]
  Compare -12 and 11
  No swap needed

Pass 4:
  Compare -89 and -12
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -12, 11, 16, 23]
</think>

<response>-89, -12, 11, 16, 23</response>


input: Use the bubble sort technique to reorder 17, -55, 34, -74, 98, 67, 53, -57 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [17, -55, 34, -74, 98, 67, 53, -57]

Pass 1:
  Compare 17 and -55
  Swap 17 and -55
  List after swap: [-55, 17, 34, -74, 98, 67, 53, -57]
  Compare 17 and 34
  No swap needed
  Compare 34 and -74
  Swap 34 and -74
  List after swap: [-55, 17, -74, 34, 98, 67, 53, -57]
  Compare 34 and 98
  No swap needed
  Compare 98 and 67
  Swap 98 and 67
  List after swap: [-55, 17, -74, 34, 67, 98, 53, -57]
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [-55, 17, -74, 34, 67, 53, 98, -57]
  Compare 98 and -57
  Swap 98 and -57
  List after swap: [-55, 17, -74, 34, 67, 53, -57, 98]

Pass 2:
  Compare -55 and 17
  No swap needed
  Compare 17 and -74
  Swap 17 and -74
  List after swap: [-55, -74, 17, 34, 67, 53, -57, 98]
  Compare 17 and 34
  No swap needed
  Compare 34 and 67
  No swap needed
  Compare 67 and 53
  Swap 67 and 53
  List after swap: [-55, -74, 17, 34, 53, 67, -57, 98]
  Compare 67 and -57
  Swap 67 and -57
  List after swap: [-55, -74, 17, 34, 53, -57, 67, 98]

Pass 3:
  Compare -55 and -74
  Swap -55 and -74
  List after swap: [-74, -55, 17, 34, 53, -57, 67, 98]
  Compare -55 and 17
  No swap needed
  Compare 17 and 34
  No swap needed
  Compare 34 and 53
  No swap needed
  Compare 53 and -57
  Swap 53 and -57
  List after swap: [-74, -55, 17, 34, -57, 53, 67, 98]

Pass 4:
  Compare -74 and -55
  No swap needed
  Compare -55 and 17
  No swap needed
  Compare 17 and 34
  No swap needed
  Compare 34 and -57
  Swap 34 and -57
  List after swap: [-74, -55, 17, -57, 34, 53, 67, 98]

Pass 5:
  Compare -74 and -55
  No swap needed
  Compare -55 and 17
  No swap needed
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-74, -55, -57, 17, 34, 53, 67, 98]

Pass 6:
  Compare -74 and -55
  No swap needed
  Compare -55 and -57
  Swap -55 and -57
  List after swap: [-74, -57, -55, 17, 34, 53, 67, 98]

Pass 7:
  Compare -74 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -57, -55, 17, 34, 53, 67, 98]
</think>

<response>-74, -57, -55, 17, 34, 53, 67, 98</response>


input: Use the bubble sort technique to reorder -78, -93, 95, -86, 74, -72, 30, -58 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-78, -93, 95, -86, 74, -72, 30, -58]

Pass 1:
  Compare -78 and -93
  Swap -78 and -93
  List after swap: [-93, -78, 95, -86, 74, -72, 30, -58]
  Compare -78 and 95
  No swap needed
  Compare 95 and -86
  Swap 95 and -86
  List after swap: [-93, -78, -86, 95, 74, -72, 30, -58]
  Compare 95 and 74
  Swap 95 and 74
  List after swap: [-93, -78, -86, 74, 95, -72, 30, -58]
  Compare 95 and -72
  Swap 95 and -72
  List after swap: [-93, -78, -86, 74, -72, 95, 30, -58]
  Compare 95 and 30
  Swap 95 and 30
  List after swap: [-93, -78, -86, 74, -72, 30, 95, -58]
  Compare 95 and -58
  Swap 95 and -58
  List after swap: [-93, -78, -86, 74, -72, 30, -58, 95]

Pass 2:
  Compare -93 and -78
  No swap needed
  Compare -78 and -86
  Swap -78 and -86
  List after swap: [-93, -86, -78, 74, -72, 30, -58, 95]
  Compare -78 and 74
  No swap needed
  Compare 74 and -72
  Swap 74 and -72
  List after swap: [-93, -86, -78, -72, 74, 30, -58, 95]
  Compare 74 and 30
  Swap 74 and 30
  List after swap: [-93, -86, -78, -72, 30, 74, -58, 95]
  Compare 74 and -58
  Swap 74 and -58
  List after swap: [-93, -86, -78, -72, 30, -58, 74, 95]

Pass 3:
  Compare -93 and -86
  No swap needed
  Compare -86 and -78
  No swap needed
  Compare -78 and -72
  No swap needed
  Compare -72 and 30
  No swap needed
  Compare 30 and -58
  Swap 30 and -58
  List after swap: [-93, -86, -78, -72, -58, 30, 74, 95]

Pass 4:
  Compare -93 and -86
  No swap needed
  Compare -86 and -78
  No swap needed
  Compare -78 and -72
  No swap needed
  Compare -72 and -58
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -86, -78, -72, -58, 30, 74, 95]
</think>

<response>-93, -86, -78, -72, -58, 30, 74, 95</response>


input: Sort the list -50, -21, -33, -49, 32, -93, -9, 18, 79, 56 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-50, -21, -33, -49, 32, -93, -9, 18, 79, 56]

Pass 1:
  Compare -50 and -21
  No swap needed
  Compare -21 and -33
  Swap -21 and -33
  List after swap: [-50, -33, -21, -49, 32, -93, -9, 18, 79, 56]
  Compare -21 and -49
  Swap -21 and -49
  List after swap: [-50, -33, -49, -21, 32, -93, -9, 18, 79, 56]
  Compare -21 and 32
  No swap needed
  Compare 32 and -93
  Swap 32 and -93
  List after swap: [-50, -33, -49, -21, -93, 32, -9, 18, 79, 56]
  Compare 32 and -9
  Swap 32 and -9
  List after swap: [-50, -33, -49, -21, -93, -9, 32, 18, 79, 56]
  Compare 32 and 18
  Swap 32 and 18
  List after swap: [-50, -33, -49, -21, -93, -9, 18, 32, 79, 56]
  Compare 32 and 79
  No swap needed
  Compare 79 and 56
  Swap 79 and 56
  List after swap: [-50, -33, -49, -21, -93, -9, 18, 32, 56, 79]

Pass 2:
  Compare -50 and -33
  No swap needed
  Compare -33 and -49
  Swap -33 and -49
  List after swap: [-50, -49, -33, -21, -93, -9, 18, 32, 56, 79]
  Compare -33 and -21
  No swap needed
  Compare -21 and -93
  Swap -21 and -93
  List after swap: [-50, -49, -33, -93, -21, -9, 18, 32, 56, 79]
  Compare -21 and -9
  No swap needed
  Compare -9 and 18
  No swap needed
  Compare 18 and 32
  No swap needed
  Compare 32 and 56
  No swap needed

Pass 3:
  Compare -50 and -49
  No swap needed
  Compare -49 and -33
  No swap needed
  Compare -33 and -93
  Swap -33 and -93
  List after swap: [-50, -49, -93, -33, -21, -9, 18, 32, 56, 79]
  Compare -33 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and 18
  No swap needed
  Compare 18 and 32
  No swap needed

Pass 4:
  Compare -50 and -49
  No swap needed
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-50, -93, -49, -33, -21, -9, 18, 32, 56, 79]
  Compare -49 and -33
  No swap needed
  Compare -33 and -21
  No swap needed
  Compare -21 and -9
  No swap needed
  Compare -9 and 18
  No swap needed

Pass 5:
  Compare -50 and -93
  Swap -50 and -93
  List after swap: [-93, -50, -49, -33, -21, -9, 18, 32, 56, 79]
  Compare -50 and -49
  No swap needed
  Compare -49 and -33
  No swap needed
  Compare -33 and -21
  No swap needed
  Compare -21 and -9
  No swap needed

Pass 6:
  Compare -93 and -50
  No swap needed
  Compare -50 and -49
  No swap needed
  Compare -49 and -33
  No swap needed
  Compare -33 and -21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -50, -49, -33, -21, -9, 18, 32, 56, 79]
</think>

<response>-93, -50, -49, -33, -21, -9, 18, 32, 56, 79</response>


input: Sort these integers 68, -53, -86, -84 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [68, -53, -86, -84]

Pass 1:
  Compare 68 and -53
  Swap 68 and -53
  List after swap: [-53, 68, -86, -84]
  Compare 68 and -86
  Swap 68 and -86
  List after swap: [-53, -86, 68, -84]
  Compare 68 and -84
  Swap 68 and -84
  List after swap: [-53, -86, -84, 68]

Pass 2:
  Compare -53 and -86
  Swap -53 and -86
  List after swap: [-86, -53, -84, 68]
  Compare -53 and -84
  Swap -53 and -84
  List after swap: [-86, -84, -53, 68]

Pass 3:
  Compare -86 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -84, -53, 68]
</think>

<response>-86, -84, -53, 68</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 27, -4, -35, 42, -96.

output:
<think>
Initial list: [27, -4, -35, 42, -96]

Pass 1:
  Compare 27 and -4
  Swap 27 and -4
  List after swap: [-4, 27, -35, 42, -96]
  Compare 27 and -35
  Swap 27 and -35
  List after swap: [-4, -35, 27, 42, -96]
  Compare 27 and 42
  No swap needed
  Compare 42 and -96
  Swap 42 and -96
  List after swap: [-4, -35, 27, -96, 42]

Pass 2:
  Compare -4 and -35
  Swap -4 and -35
  List after swap: [-35, -4, 27, -96, 42]
  Compare -4 and 27
  No swap needed
  Compare 27 and -96
  Swap 27 and -96
  List after swap: [-35, -4, -96, 27, 42]

Pass 3:
  Compare -35 and -4
  No swap needed
  Compare -4 and -96
  Swap -4 and -96
  List after swap: [-35, -96, -4, 27, 42]

Pass 4:
  Compare -35 and -96
  Swap -35 and -96
  List after swap: [-96, -35, -4, 27, 42]

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

Final sorted list: [-96, -35, -4, 27, 42]
</think>

<response>-96, -35, -4, 27, 42</response>


input: Sort these integers 35, -74, 13, -61, 41, -6, 83, -65, -92, -25 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [35, -74, 13, -61, 41, -6, 83, -65, -92, -25]

Pass 1:
  Compare 35 and -74
  Swap 35 and -74
  List after swap: [-74, 35, 13, -61, 41, -6, 83, -65, -92, -25]
  Compare 35 and 13
  Swap 35 and 13
  List after swap: [-74, 13, 35, -61, 41, -6, 83, -65, -92, -25]
  Compare 35 and -61
  Swap 35 and -61
  List after swap: [-74, 13, -61, 35, 41, -6, 83, -65, -92, -25]
  Compare 35 and 41
  No swap needed
  Compare 41 and -6
  Swap 41 and -6
  List after swap: [-74, 13, -61, 35, -6, 41, 83, -65, -92, -25]
  Compare 41 and 83
  No swap needed
  Compare 83 and -65
  Swap 83 and -65
  List after swap: [-74, 13, -61, 35, -6, 41, -65, 83, -92, -25]
  Compare 83 and -92
  Swap 83 and -92
  List after swap: [-74, 13, -61, 35, -6, 41, -65, -92, 83, -25]
  Compare 83 and -25
  Swap 83 and -25
  List after swap: [-74, 13, -61, 35, -6, 41, -65, -92, -25, 83]

Pass 2:
  Compare -74 and 13
  No swap needed
  Compare 13 and -61
  Swap 13 and -61
  List after swap: [-74, -61, 13, 35, -6, 41, -65, -92, -25, 83]
  Compare 13 and 35
  No swap needed
  Compare 35 and -6
  Swap 35 and -6
  List after swap: [-74, -61, 13, -6, 35, 41, -65, -92, -25, 83]
  Compare 35 and 41
  No swap needed
  Compare 41 and -65
  Swap 41 and -65
  List after swap: [-74, -61, 13, -6, 35, -65, 41, -92, -25, 83]
  Compare 41 and -92
  Swap 41 and -92
  List after swap: [-74, -61, 13, -6, 35, -65, -92, 41, -25, 83]
  Compare 41 and -25
  Swap 41 and -25
  List after swap: [-74, -61, 13, -6, 35, -65, -92, -25, 41, 83]

Pass 3:
  Compare -74 and -61
  No swap needed
  Compare -61 and 13
  No swap needed
  Compare 13 and -6
  Swap 13 and -6
  List after swap: [-74, -61, -6, 13, 35, -65, -92, -25, 41, 83]
  Compare 13 and 35
  No swap needed
  Compare 35 and -65
  Swap 35 and -65
  List after swap: [-74, -61, -6, 13, -65, 35, -92, -25, 41, 83]
  Compare 35 and -92
  Swap 35 and -92
  List after swap: [-74, -61, -6, 13, -65, -92, 35, -25, 41, 83]
  Compare 35 and -25
  Swap 35 and -25
  List after swap: [-74, -61, -6, 13, -65, -92, -25, 35, 41, 83]

Pass 4:
  Compare -74 and -61
  No swap needed
  Compare -61 and -6
  No swap needed
  Compare -6 and 13
  No swap needed
  Compare 13 and -65
  Swap 13 and -65
  List after swap: [-74, -61, -6, -65, 13, -92, -25, 35, 41, 83]
  Compare 13 and -92
  Swap 13 and -92
  List after swap: [-74, -61, -6, -65, -92, 13, -25, 35, 41, 83]
  Compare 13 and -25
  Swap 13 and -25
  List after swap: [-74, -61, -6, -65, -92, -25, 13, 35, 41, 83]

Pass 5:
  Compare -74 and -61
  No swap needed
  Compare -61 and -6
  No swap needed
  Compare -6 and -65
  Swap -6 and -65
  List after swap: [-74, -61, -65, -6, -92, -25, 13, 35, 41, 83]
  Compare -6 and -92
  Swap -6 and -92
  List after swap: [-74, -61, -65, -92, -6, -25, 13, 35, 41, 83]
  Compare -6 and -25
  Swap -6 and -25
  List after swap: [-74, -61, -65, -92, -25, -6, 13, 35, 41, 83]

Pass 6:
  Compare -74 and -61
  No swap needed
  Compare -61 and -65
  Swap -61 and -65
  List after swap: [-74, -65, -61, -92, -25, -6, 13, 35, 41, 83]
  Compare -61 and -92
  Swap -61 and -92
  List after swap: [-74, -65, -92, -61, -25, -6, 13, 35, 41, 83]
  Compare -61 and -25
  No swap needed

Pass 7:
  Compare -74 and -65
  No swap needed
  Compare -65 and -92
  Swap -65 and -92
  List after swap: [-74, -92, -65, -61, -25, -6, 13, 35, 41, 83]
  Compare -65 and -61
  No swap needed

Pass 8:
  Compare -74 and -92
  Swap -74 and -92
  List after swap: [-92, -74, -65, -61, -25, -6, 13, 35, 41, 83]
  Compare -74 and -65
  No swap needed

Pass 9:
  Compare -92 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -74, -65, -61, -25, -6, 13, 35, 41, 83]
</think>

<response>-92, -74, -65, -61, -25, -6, 13, 35, 41, 83</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -54, -31, -95, 56, 38, -63, 57, 47.

output:
<think>
Initial list: [-54, -31, -95, 56, 38, -63, 57, 47]

Pass 1:
  Compare -54 and -31
  No swap needed
  Compare -31 and -95
  Swap -31 and -95
  List after swap: [-54, -95, -31, 56, 38, -63, 57, 47]
  Compare -31 and 56
  No swap needed
  Compare 56 and 38
  Swap 56 and 38
  List after swap: [-54, -95, -31, 38, 56, -63, 57, 47]
  Compare 56 and -63
  Swap 56 and -63
  List after swap: [-54, -95, -31, 38, -63, 56, 57, 47]
  Compare 56 and 57
  No swap needed
  Compare 57 and 47
  Swap 57 and 47
  List after swap: [-54, -95, -31, 38, -63, 56, 47, 57]

Pass 2:
  Compare -54 and -95
  Swap -54 and -95
  List after swap: [-95, -54, -31, 38, -63, 56, 47, 57]
  Compare -54 and -31
  No swap needed
  Compare -31 and 38
  No swap needed
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [-95, -54, -31, -63, 38, 56, 47, 57]
  Compare 38 and 56
  No swap needed
  Compare 56 and 47
  Swap 56 and 47
  List after swap: [-95, -54, -31, -63, 38, 47, 56, 57]

Pass 3:
  Compare -95 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  Compare -31 and -63
  Swap -31 and -63
  List after swap: [-95, -54, -63, -31, 38, 47, 56, 57]
  Compare -31 and 38
  No swap needed
  Compare 38 and 47
  No swap needed

Pass 4:
  Compare -95 and -54
  No swap needed
  Compare -54 and -63
  Swap -54 and -63
  List after swap: [-95, -63, -54, -31, 38, 47, 56, 57]
  Compare -54 and -31
  No swap needed
  Compare -31 and 38
  No swap needed

Pass 5:
  Compare -95 and -63
  No swap needed
  Compare -63 and -54
  No swap needed
  Compare -54 and -31
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -63, -54, -31, 38, 47, 56, 57]
</think>

<response>-95, -63, -54, -31, 38, 47, 56, 57</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 6, 90, 73, -88, 71, -47, -52, -87.

output:
<think>
Initial list: [6, 90, 73, -88, 71, -47, -52, -87]

Pass 1:
  Compare 6 and 90
  No swap needed
  Compare 90 and 73
  Swap 90 and 73
  List after swap: [6, 73, 90, -88, 71, -47, -52, -87]
  Compare 90 and -88
  Swap 90 and -88
  List after swap: [6, 73, -88, 90, 71, -47, -52, -87]
  Compare 90 and 71
  Swap 90 and 71
  List after swap: [6, 73, -88, 71, 90, -47, -52, -87]
  Compare 90 and -47
  Swap 90 and -47
  List after swap: [6, 73, -88, 71, -47, 90, -52, -87]
  Compare 90 and -52
  Swap 90 and -52
  List after swap: [6, 73, -88, 71, -47, -52, 90, -87]
  Compare 90 and -87
  Swap 90 and -87
  List after swap: [6, 73, -88, 71, -47, -52, -87, 90]

Pass 2:
  Compare 6 and 73
  No swap needed
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [6, -88, 73, 71, -47, -52, -87, 90]
  Compare 73 and 71
  Swap 73 and 71
  List after swap: [6, -88, 71, 73, -47, -52, -87, 90]
  Compare 73 and -47
  Swap 73 and -47
  List after swap: [6, -88, 71, -47, 73, -52, -87, 90]
  Compare 73 and -52
  Swap 73 and -52
  List after swap: [6, -88, 71, -47, -52, 73, -87, 90]
  Compare 73 and -87
  Swap 73 and -87
  List after swap: [6, -88, 71, -47, -52, -87, 73, 90]

Pass 3:
  Compare 6 and -88
  Swap 6 and -88
  List after swap: [-88, 6, 71, -47, -52, -87, 73, 90]
  Compare 6 and 71
  No swap needed
  Compare 71 and -47
  Swap 71 and -47
  List after swap: [-88, 6, -47, 71, -52, -87, 73, 90]
  Compare 71 and -52
  Swap 71 and -52
  List after swap: [-88, 6, -47, -52, 71, -87, 73, 90]
  Compare 71 and -87
  Swap 71 and -87
  List after swap: [-88, 6, -47, -52, -87, 71, 73, 90]

Pass 4:
  Compare -88 and 6
  No swap needed
  Compare 6 and -47
  Swap 6 and -47
  List after swap: [-88, -47, 6, -52, -87, 71, 73, 90]
  Compare 6 and -52
  Swap 6 and -52
  List after swap: [-88, -47, -52, 6, -87, 71, 73, 90]
  Compare 6 and -87
  Swap 6 and -87
  List after swap: [-88, -47, -52, -87, 6, 71, 73, 90]

Pass 5:
  Compare -88 and -47
  No swap needed
  Compare -47 and -52
  Swap -47 and -52
  List after swap: [-88, -52, -47, -87, 6, 71, 73, 90]
  Compare -47 and -87
  Swap -47 and -87
  List after swap: [-88, -52, -87, -47, 6, 71, 73, 90]

Pass 6:
  Compare -88 and -52
  No swap needed
  Compare -52 and -87
  Swap -52 and -87
  List after swap: [-88, -87, -52, -47, 6, 71, 73, 90]

Pass 7:
  Compare -88 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -87, -52, -47, 6, 71, 73, 90]
</think>

<response>-88, -87, -52, -47, 6, 71, 73, 90</response>


input: Sort the list -87, -33, 90, 17, -68, 0, -38, -57, -51 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-87, -33, 90, 17, -68, 0, -38, -57, -51]

Pass 1:
  Compare -87 and -33
  No swap needed
  Compare -33 and 90
  No swap needed
  Compare 90 and 17
  Swap 90 and 17
  List after swap: [-87, -33, 17, 90, -68, 0, -38, -57, -51]
  Compare 90 and -68
  Swap 90 and -68
  List after swap: [-87, -33, 17, -68, 90, 0, -38, -57, -51]
  Compare 90 and 0
  Swap 90 and 0
  List after swap: [-87, -33, 17, -68, 0, 90, -38, -57, -51]
  Compare 90 and -38
  Swap 90 and -38
  List after swap: [-87, -33, 17, -68, 0, -38, 90, -57, -51]
  Compare 90 and -57
  Swap 90 and -57
  List after swap: [-87, -33, 17, -68, 0, -38, -57, 90, -51]
  Compare 90 and -51
  Swap 90 and -51
  List after swap: [-87, -33, 17, -68, 0, -38, -57, -51, 90]

Pass 2:
  Compare -87 and -33
  No swap needed
  Compare -33 and 17
  No swap needed
  Compare 17 and -68
  Swap 17 and -68
  List after swap: [-87, -33, -68, 17, 0, -38, -57, -51, 90]
  Compare 17 and 0
  Swap 17 and 0
  List after swap: [-87, -33, -68, 0, 17, -38, -57, -51, 90]
  Compare 17 and -38
  Swap 17 and -38
  List after swap: [-87, -33, -68, 0, -38, 17, -57, -51, 90]
  Compare 17 and -57
  Swap 17 and -57
  List after swap: [-87, -33, -68, 0, -38, -57, 17, -51, 90]
  Compare 17 and -51
  Swap 17 and -51
  List after swap: [-87, -33, -68, 0, -38, -57, -51, 17, 90]

Pass 3:
  Compare -87 and -33
  No swap needed
  Compare -33 and -68
  Swap -33 and -68
  List after swap: [-87, -68, -33, 0, -38, -57, -51, 17, 90]
  Compare -33 and 0
  No swap needed
  Compare 0 and -38
  Swap 0 and -38
  List after swap: [-87, -68, -33, -38, 0, -57, -51, 17, 90]
  Compare 0 and -57
  Swap 0 and -57
  List after swap: [-87, -68, -33, -38, -57, 0, -51, 17, 90]
  Compare 0 and -51
  Swap 0 and -51
  List after swap: [-87, -68, -33, -38, -57, -51, 0, 17, 90]

Pass 4:
  Compare -87 and -68
  No swap needed
  Compare -68 and -33
  No swap needed
  Compare -33 and -38
  Swap -33 and -38
  List after swap: [-87, -68, -38, -33, -57, -51, 0, 17, 90]
  Compare -33 and -57
  Swap -33 and -57
  List after swap: [-87, -68, -38, -57, -33, -51, 0, 17, 90]
  Compare -33 and -51
  Swap -33 and -51
  List after swap: [-87, -68, -38, -57, -51, -33, 0, 17, 90]

Pass 5:
  Compare -87 and -68
  No swap needed
  Compare -68 and -38
  No swap needed
  Compare -38 and -57
  Swap -38 and -57
  List after swap: [-87, -68, -57, -38, -51, -33, 0, 17, 90]
  Compare -38 and -51
  Swap -38 and -51
  List after swap: [-87, -68, -57, -51, -38, -33, 0, 17, 90]

Pass 6:
  Compare -87 and -68
  No swap needed
  Compare -68 and -57
  No swap needed
  Compare -57 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -68, -57, -51, -38, -33, 0, 17, 90]
</think>

<response>-87, -68, -57, -51, -38, -33, 0, 17, 90</response>


input: Carry out the bubble sort algorithm on 36, -46, -21, 49, -65, -80, -56, 76 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [36, -46, -21, 49, -65, -80, -56, 76]

Pass 1:
  Compare 36 and -46
  Swap 36 and -46
  List after swap: [-46, 36, -21, 49, -65, -80, -56, 76]
  Compare 36 and -21
  Swap 36 and -21
  List after swap: [-46, -21, 36, 49, -65, -80, -56, 76]
  Compare 36 and 49
  No swap needed
  Compare 49 and -65
  Swap 49 and -65
  List after swap: [-46, -21, 36, -65, 49, -80, -56, 76]
  Compare 49 and -80
  Swap 49 and -80
  List after swap: [-46, -21, 36, -65, -80, 49, -56, 76]
  Compare 49 and -56
  Swap 49 and -56
  List after swap: [-46, -21, 36, -65, -80, -56, 49, 76]
  Compare 49 and 76
  No swap needed

Pass 2:
  Compare -46 and -21
  No swap needed
  Compare -21 and 36
  No swap needed
  Compare 36 and -65
  Swap 36 and -65
  List after swap: [-46, -21, -65, 36, -80, -56, 49, 76]
  Compare 36 and -80
  Swap 36 and -80
  List after swap: [-46, -21, -65, -80, 36, -56, 49, 76]
  Compare 36 and -56
  Swap 36 and -56
  List after swap: [-46, -21, -65, -80, -56, 36, 49, 76]
  Compare 36 and 49
  No swap needed

Pass 3:
  Compare -46 and -21
  No swap needed
  Compare -21 and -65
  Swap -21 and -65
  List after swap: [-46, -65, -21, -80, -56, 36, 49, 76]
  Compare -21 and -80
  Swap -21 and -80
  List after swap: [-46, -65, -80, -21, -56, 36, 49, 76]
  Compare -21 and -56
  Swap -21 and -56
  List after swap: [-46, -65, -80, -56, -21, 36, 49, 76]
  Compare -21 and 36
  No swap needed

Pass 4:
  Compare -46 and -65
  Swap -46 and -65
  List after swap: [-65, -46, -80, -56, -21, 36, 49, 76]
  Compare -46 and -80
  Swap -46 and -80
  List after swap: [-65, -80, -46, -56, -21, 36, 49, 76]
  Compare -46 and -56
  Swap -46 and -56
  List after swap: [-65, -80, -56, -46, -21, 36, 49, 76]
  Compare -46 and -21
  No swap needed

Pass 5:
  Compare -65 and -80
  Swap -65 and -80
  List after swap: [-80, -65, -56, -46, -21, 36, 49, 76]
  Compare -65 and -56
  No swap needed
  Compare -56 and -46
  No swap needed

Pass 6:
  Compare -80 and -65
  No swap needed
  Compare -65 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -65, -56, -46, -21, 36, 49, 76]
</think>

<response>-80, -65, -56, -46, -21, 36, 49, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -51, -23, 4, -14, 57, -35, 1, 98, -72.

output:
<think>
Initial list: [-51, -23, 4, -14, 57, -35, 1, 98, -72]

Pass 1:
  Compare -51 and -23
  No swap needed
  Compare -23 and 4
  No swap needed
  Compare 4 and -14
  Swap 4 and -14
  List after swap: [-51, -23, -14, 4, 57, -35, 1, 98, -72]
  Compare 4 and 57
  No swap needed
  Compare 57 and -35
  Swap 57 and -35
  List after swap: [-51, -23, -14, 4, -35, 57, 1, 98, -72]
  Compare 57 and 1
  Swap 57 and 1
  List after swap: [-51, -23, -14, 4, -35, 1, 57, 98, -72]
  Compare 57 and 98
  No swap needed
  Compare 98 and -72
  Swap 98 and -72
  List after swap: [-51, -23, -14, 4, -35, 1, 57, -72, 98]

Pass 2:
  Compare -51 and -23
  No swap needed
  Compare -23 and -14
  No swap needed
  Compare -14 and 4
  No swap needed
  Compare 4 and -35
  Swap 4 and -35
  List after swap: [-51, -23, -14, -35, 4, 1, 57, -72, 98]
  Compare 4 and 1
  Swap 4 and 1
  List after swap: [-51, -23, -14, -35, 1, 4, 57, -72, 98]
  Compare 4 and 57
  No swap needed
  Compare 57 and -72
  Swap 57 and -72
  List after swap: [-51, -23, -14, -35, 1, 4, -72, 57, 98]

Pass 3:
  Compare -51 and -23
  No swap needed
  Compare -23 and -14
  No swap needed
  Compare -14 and -35
  Swap -14 and -35
  List after swap: [-51, -23, -35, -14, 1, 4, -72, 57, 98]
  Compare -14 and 1
  No swap needed
  Compare 1 and 4
  No swap needed
  Compare 4 and -72
  Swap 4 and -72
  List after swap: [-51, -23, -35, -14, 1, -72, 4, 57, 98]

Pass 4:
  Compare -51 and -23
  No swap needed
  Compare -23 and -35
  Swap -23 and -35
  List after swap: [-51, -35, -23, -14, 1, -72, 4, 57, 98]
  Compare -23 and -14
  No swap needed
  Compare -14 and 1
  No swap needed
  Compare 1 and -72
  Swap 1 and -72
  List after swap: [-51, -35, -23, -14, -72, 1, 4, 57, 98]

Pass 5:
  Compare -51 and -35
  No swap needed
  Compare -35 and -23
  No swap needed
  Compare -23 and -14
  No swap needed
  Compare -14 and -72
  Swap -14 and -72
  List after swap: [-51, -35, -23, -72, -14, 1, 4, 57, 98]

Pass 6:
  Compare -51 and -35
  No swap needed
  Compare -35 and -23
  No swap needed
  Compare -23 and -72
  Swap -23 and -72
  List after swap: [-51, -35, -72, -23, -14, 1, 4, 57, 98]

Pass 7:
  Compare -51 and -35
  No swap needed
  Compare -35 and -72
  Swap -35 and -72
  List after swap: [-51, -72, -35, -23, -14, 1, 4, 57, 98]

Pass 8:
  Compare -51 and -72
  Swap -51 and -72
  List after swap: [-72, -51, -35, -23, -14, 1, 4, 57, 98]

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

Final sorted list: [-72, -51, -35, -23, -14, 1, 4, 57, 98]
</think>

<response>-72, -51, -35, -23, -14, 1, 4, 57, 98</response>


input: Use the bubble sort technique to reorder -84, -89, 19 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-84, -89, 19]

Pass 1:
  Compare -84 and -89
  Swap -84 and -89
  List after swap: [-89, -84, 19]
  Compare -84 and 19
  No swap needed

Pass 2:
  Compare -89 and -84
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -84, 19]
</think>

<response>-89, -84, 19</response>


input: Sort the list -45, -58, -70, 37, -54, -41 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-45, -58, -70, 37, -54, -41]

Pass 1:
  Compare -45 and -58
  Swap -45 and -58
  List after swap: [-58, -45, -70, 37, -54, -41]
  Compare -45 and -70
  Swap -45 and -70
  List after swap: [-58, -70, -45, 37, -54, -41]
  Compare -45 and 37
  No swap needed
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-58, -70, -45, -54, 37, -41]
  Compare 37 and -41
  Swap 37 and -41
  List after swap: [-58, -70, -45, -54, -41, 37]

Pass 2:
  Compare -58 and -70
  Swap -58 and -70
  List after swap: [-70, -58, -45, -54, -41, 37]
  Compare -58 and -45
  No swap needed
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-70, -58, -54, -45, -41, 37]
  Compare -45 and -41
  No swap needed

Pass 3:
  Compare -70 and -58
  No swap needed
  Compare -58 and -54
  No swap needed
  Compare -54 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -58, -54, -45, -41, 37]
</think>

<response>-70, -58, -54, -45, -41, 37</response>


input: Perform a bubble sort on the integers -19, 56, -46, -60, -70, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-19, 56, -46, -60, -70]

Pass 1:
  Compare -19 and 56
  No swap needed
  Compare 56 and -46
  Swap 56 and -46
  List after swap: [-19, -46, 56, -60, -70]
  Compare 56 and -60
  Swap 56 and -60
  List after swap: [-19, -46, -60, 56, -70]
  Compare 56 and -70
  Swap 56 and -70
  List after swap: [-19, -46, -60, -70, 56]

Pass 2:
  Compare -19 and -46
  Swap -19 and -46
  List after swap: [-46, -19, -60, -70, 56]
  Compare -19 and -60
  Swap -19 and -60
  List after swap: [-46, -60, -19, -70, 56]
  Compare -19 and -70
  Swap -19 and -70
  List after swap: [-46, -60, -70, -19, 56]

Pass 3:
  Compare -46 and -60
  Swap -46 and -60
  List after swap: [-60, -46, -70, -19, 56]
  Compare -46 and -70
  Swap -46 and -70
  List after swap: [-60, -70, -46, -19, 56]

Pass 4:
  Compare -60 and -70
  Swap -60 and -70
  List after swap: [-70, -60, -46, -19, 56]

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

Final sorted list: [-70, -60, -46, -19, 56]
</think>

<response>-70, -60, -46, -19, 56</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -73, 95, -23.

output:
<think>
Initial list: [-73, 95, -23]

Pass 1:
  Compare -73 and 95
  No swap needed
  Compare 95 and -23
  Swap 95 and -23
  List after swap: [-73, -23, 95]

Pass 2:
  Compare -73 and -23
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -23, 95]
</think>

<response>-73, -23, 95</response>


input: Sort these integers -19, 67, -40, -87, 87, 39, 60 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-19, 67, -40, -87, 87, 39, 60]

Pass 1:
  Compare -19 and 67
  No swap needed
  Compare 67 and -40
  Swap 67 and -40
  List after swap: [-19, -40, 67, -87, 87, 39, 60]
  Compare 67 and -87
  Swap 67 and -87
  List after swap: [-19, -40, -87, 67, 87, 39, 60]
  Compare 67 and 87
  No swap needed
  Compare 87 and 39
  Swap 87 and 39
  List after swap: [-19, -40, -87, 67, 39, 87, 60]
  Compare 87 and 60
  Swap 87 and 60
  List after swap: [-19, -40, -87, 67, 39, 60, 87]

Pass 2:
  Compare -19 and -40
  Swap -19 and -40
  List after swap: [-40, -19, -87, 67, 39, 60, 87]
  Compare -19 and -87
  Swap -19 and -87
  List after swap: [-40, -87, -19, 67, 39, 60, 87]
  Compare -19 and 67
  No swap needed
  Compare 67 and 39
  Swap 67 and 39
  List after swap: [-40, -87, -19, 39, 67, 60, 87]
  Compare 67 and 60
  Swap 67 and 60
  List after swap: [-40, -87, -19, 39, 60, 67, 87]

Pass 3:
  Compare -40 and -87
  Swap -40 and -87
  List after swap: [-87, -40, -19, 39, 60, 67, 87]
  Compare -40 and -19
  No swap needed
  Compare -19 and 39
  No swap needed
  Compare 39 and 60
  No swap needed

Pass 4:
  Compare -87 and -40
  No swap needed
  Compare -40 and -19
  No swap needed
  Compare -19 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-87, -40, -19, 39, 60, 67, 87]
</think>

<response>-87, -40, -19, 39, 60, 67, 87</response>


input: Use the bubble sort technique to reorder -37, -62, 14, 83, -90 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-37, -62, 14, 83, -90]

Pass 1:
  Compare -37 and -62
  Swap -37 and -62
  List after swap: [-62, -37, 14, 83, -90]
  Compare -37 and 14
  No swap needed
  Compare 14 and 83
  No swap needed
  Compare 83 and -90
  Swap 83 and -90
  List after swap: [-62, -37, 14, -90, 83]

Pass 2:
  Compare -62 and -37
  No swap needed
  Compare -37 and 14
  No swap needed
  Compare 14 and -90
  Swap 14 and -90
  List after swap: [-62, -37, -90, 14, 83]

Pass 3:
  Compare -62 and -37
  No swap needed
  Compare -37 and -90
  Swap -37 and -90
  List after swap: [-62, -90, -37, 14, 83]

Pass 4:
  Compare -62 and -90
  Swap -62 and -90
  List after swap: [-90, -62, -37, 14, 83]

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

Final sorted list: [-90, -62, -37, 14, 83]
</think>

<response>-90, -62, -37, 14, 83</response>


input: Carry out the bubble sort algorithm on 35, -99, -60, -19, -80, 26, 0, -52 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [35, -99, -60, -19, -80, 26, 0, -52]

Pass 1:
  Compare 35 and -99
  Swap 35 and -99
  List after swap: [-99, 35, -60, -19, -80, 26, 0, -52]
  Compare 35 and -60
  Swap 35 and -60
  List after swap: [-99, -60, 35, -19, -80, 26, 0, -52]
  Compare 35 and -19
  Swap 35 and -19
  List after swap: [-99, -60, -19, 35, -80, 26, 0, -52]
  Compare 35 and -80
  Swap 35 and -80
  List after swap: [-99, -60, -19, -80, 35, 26, 0, -52]
  Compare 35 and 26
  Swap 35 and 26
  List after swap: [-99, -60, -19, -80, 26, 35, 0, -52]
  Compare 35 and 0
  Swap 35 and 0
  List after swap: [-99, -60, -19, -80, 26, 0, 35, -52]
  Compare 35 and -52
  Swap 35 and -52
  List after swap: [-99, -60, -19, -80, 26, 0, -52, 35]

Pass 2:
  Compare -99 and -60
  No swap needed
  Compare -60 and -19
  No swap needed
  Compare -19 and -80
  Swap -19 and -80
  List after swap: [-99, -60, -80, -19, 26, 0, -52, 35]
  Compare -19 and 26
  No swap needed
  Compare 26 and 0
  Swap 26 and 0
  List after swap: [-99, -60, -80, -19, 0, 26, -52, 35]
  Compare 26 and -52
  Swap 26 and -52
  List after swap: [-99, -60, -80, -19, 0, -52, 26, 35]

Pass 3:
  Compare -99 and -60
  No swap needed
  Compare -60 and -80
  Swap -60 and -80
  List after swap: [-99, -80, -60, -19, 0, -52, 26, 35]
  Compare -60 and -19
  No swap needed
  Compare -19 and 0
  No swap needed
  Compare 0 and -52
  Swap 0 and -52
  List after swap: [-99, -80, -60, -19, -52, 0, 26, 35]

Pass 4:
  Compare -99 and -80
  No swap needed
  Compare -80 and -60
  No swap needed
  Compare -60 and -19
  No swap needed
  Compare -19 and -52
  Swap -19 and -52
  List after swap: [-99, -80, -60, -52, -19, 0, 26, 35]

Pass 5:
  Compare -99 and -80
  No swap needed
  Compare -80 and -60
  No swap needed
  Compare -60 and -52
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -80, -60, -52, -19, 0, 26, 35]
</think>

<response>-99, -80, -60, -52, -19, 0, 26, 35</response>


input: Arrange the numbers -19, 51, 29, -31 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-19, 51, 29, -31]

Pass 1:
  Compare -19 and 51
  No swap needed
  Compare 51 and 29
  Swap 51 and 29
  List after swap: [-19, 29, 51, -31]
  Compare 51 and -31
  Swap 51 and -31
  List after swap: [-19, 29, -31, 51]

Pass 2:
  Compare -19 and 29
  No swap needed
  Compare 29 and -31
  Swap 29 and -31
  List after swap: [-19, -31, 29, 51]

Pass 3:
  Compare -19 and -31
  Swap -19 and -31
  List after swap: [-31, -19, 29, 51]

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

Final sorted list: [-31, -19, 29, 51]
</think>

<response>-31, -19, 29, 51</response>


input: Arrange the numbers -13, -7, 64, -49, -57, -61, 84, 85, -5, -75 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-13, -7, 64, -49, -57, -61, 84, 85, -5, -75]

Pass 1:
  Compare -13 and -7
  No swap needed
  Compare -7 and 64
  No swap needed
  Compare 64 and -49
  Swap 64 and -49
  List after swap: [-13, -7, -49, 64, -57, -61, 84, 85, -5, -75]
  Compare 64 and -57
  Swap 64 and -57
  List after swap: [-13, -7, -49, -57, 64, -61, 84, 85, -5, -75]
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [-13, -7, -49, -57, -61, 64, 84, 85, -5, -75]
  Compare 64 and 84
  No swap needed
  Compare 84 and 85
  No swap needed
  Compare 85 and -5
  Swap 85 and -5
  List after swap: [-13, -7, -49, -57, -61, 64, 84, -5, 85, -75]
  Compare 85 and -75
  Swap 85 and -75
  List after swap: [-13, -7, -49, -57, -61, 64, 84, -5, -75, 85]

Pass 2:
  Compare -13 and -7
  No swap needed
  Compare -7 and -49
  Swap -7 and -49
  List after swap: [-13, -49, -7, -57, -61, 64, 84, -5, -75, 85]
  Compare -7 and -57
  Swap -7 and -57
  List after swap: [-13, -49, -57, -7, -61, 64, 84, -5, -75, 85]
  Compare -7 and -61
  Swap -7 and -61
  List after swap: [-13, -49, -57, -61, -7, 64, 84, -5, -75, 85]
  Compare -7 and 64
  No swap needed
  Compare 64 and 84
  No swap needed
  Compare 84 and -5
  Swap 84 and -5
  List after swap: [-13, -49, -57, -61, -7, 64, -5, 84, -75, 85]
  Compare 84 and -75
  Swap 84 and -75
  List after swap: [-13, -49, -57, -61, -7, 64, -5, -75, 84, 85]

Pass 3:
  Compare -13 and -49
  Swap -13 and -49
  List after swap: [-49, -13, -57, -61, -7, 64, -5, -75, 84, 85]
  Compare -13 and -57
  Swap -13 and -57
  List after swap: [-49, -57, -13, -61, -7, 64, -5, -75, 84, 85]
  Compare -13 and -61
  Swap -13 and -61
  List after swap: [-49, -57, -61, -13, -7, 64, -5, -75, 84, 85]
  Compare -13 and -7
  No swap needed
  Compare -7 and 64
  No swap needed
  Compare 64 and -5
  Swap 64 and -5
  List after swap: [-49, -57, -61, -13, -7, -5, 64, -75, 84, 85]
  Compare 64 and -75
  Swap 64 and -75
  List after swap: [-49, -57, -61, -13, -7, -5, -75, 64, 84, 85]

Pass 4:
  Compare -49 and -57
  Swap -49 and -57
  List after swap: [-57, -49, -61, -13, -7, -5, -75, 64, 84, 85]
  Compare -49 and -61
  Swap -49 and -61
  List after swap: [-57, -61, -49, -13, -7, -5, -75, 64, 84, 85]
  Compare -49 and -13
  No swap needed
  Compare -13 and -7
  No swap needed
  Compare -7 and -5
  No swap needed
  Compare -5 and -75
  Swap -5 and -75
  List after swap: [-57, -61, -49, -13, -7, -75, -5, 64, 84, 85]

Pass 5:
  Compare -57 and -61
  Swap -57 and -61
  List after swap: [-61, -57, -49, -13, -7, -75, -5, 64, 84, 85]
  Compare -57 and -49
  No swap needed
  Compare -49 and -13
  No swap needed
  Compare -13 and -7
  No swap needed
  Compare -7 and -75
  Swap -7 and -75
  List after swap: [-61, -57, -49, -13, -75, -7, -5, 64, 84, 85]

Pass 6:
  Compare -61 and -57
  No swap needed
  Compare -57 and -49
  No swap needed
  Compare -49 and -13
  No swap needed
  Compare -13 and -75
  Swap -13 and -75
  List after swap: [-61, -57, -49, -75, -13, -7, -5, 64, 84, 85]

Pass 7:
  Compare -61 and -57
  No swap needed
  Compare -57 and -49
  No swap needed
  Compare -49 and -75
  Swap -49 and -75
  List after swap: [-61, -57, -75, -49, -13, -7, -5, 64, 84, 85]

Pass 8:
  Compare -61 and -57
  No swap needed
  Compare -57 and -75
  Swap -57 and -75
  List after swap: [-61, -75, -57, -49, -13, -7, -5, 64, 84, 85]

Pass 9:
  Compare -61 and -75
  Swap -61 and -75
  List after swap: [-75, -61, -57, -49, -13, -7, -5, 64, 84, 85]

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

Final sorted list: [-75, -61, -57, -49, -13, -7, -5, 64, 84, 85]
</think>

<response>-75, -61, -57, -49, -13, -7, -5, 64, 84, 85</response>


input: Use the bubble sort technique to reorder 67, 73, -11, 80, 69, -98, -88, 7 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [67, 73, -11, 80, 69, -98, -88, 7]

Pass 1:
  Compare 67 and 73
  No swap needed
  Compare 73 and -11
  Swap 73 and -11
  List after swap: [67, -11, 73, 80, 69, -98, -88, 7]
  Compare 73 and 80
  No swap needed
  Compare 80 and 69
  Swap 80 and 69
  List after swap: [67, -11, 73, 69, 80, -98, -88, 7]
  Compare 80 and -98
  Swap 80 and -98
  List after swap: [67, -11, 73, 69, -98, 80, -88, 7]
  Compare 80 and -88
  Swap 80 and -88
  List after swap: [67, -11, 73, 69, -98, -88, 80, 7]
  Compare 80 and 7
  Swap 80 and 7
  List after swap: [67, -11, 73, 69, -98, -88, 7, 80]

Pass 2:
  Compare 67 and -11
  Swap 67 and -11
  List after swap: [-11, 67, 73, 69, -98, -88, 7, 80]
  Compare 67 and 73
  No swap needed
  Compare 73 and 69
  Swap 73 and 69
  List after swap: [-11, 67, 69, 73, -98, -88, 7, 80]
  Compare 73 and -98
  Swap 73 and -98
  List after swap: [-11, 67, 69, -98, 73, -88, 7, 80]
  Compare 73 and -88
  Swap 73 and -88
  List after swap: [-11, 67, 69, -98, -88, 73, 7, 80]
  Compare 73 and 7
  Swap 73 and 7
  List after swap: [-11, 67, 69, -98, -88, 7, 73, 80]

Pass 3:
  Compare -11 and 67
  No swap needed
  Compare 67 and 69
  No swap needed
  Compare 69 and -98
  Swap 69 and -98
  List after swap: [-11, 67, -98, 69, -88, 7, 73, 80]
  Compare 69 and -88
  Swap 69 and -88
  List after swap: [-11, 67, -98, -88, 69, 7, 73, 80]
  Compare 69 and 7
  Swap 69 and 7
  List after swap: [-11, 67, -98, -88, 7, 69, 73, 80]

Pass 4:
  Compare -11 and 67
  No swap needed
  Compare 67 and -98
  Swap 67 and -98
  List after swap: [-11, -98, 67, -88, 7, 69, 73, 80]
  Compare 67 and -88
  Swap 67 and -88
  List after swap: [-11, -98, -88, 67, 7, 69, 73, 80]
  Compare 67 and 7
  Swap 67 and 7
  List after swap: [-11, -98, -88, 7, 67, 69, 73, 80]

Pass 5:
  Compare -11 and -98
  Swap -11 and -98
  List after swap: [-98, -11, -88, 7, 67, 69, 73, 80]
  Compare -11 and -88
  Swap -11 and -88
  List after swap: [-98, -88, -11, 7, 67, 69, 73, 80]
  Compare -11 and 7
  No swap needed

Pass 6:
  Compare -98 and -88
  No swap needed
  Compare -88 and -11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -88, -11, 7, 67, 69, 73, 80]
</think>

<response>-98, -88, -11, 7, 67, 69, 73, 80</response>


input: Sort the list 12, -15, 39, -34, -28, -81, 37, 3, 50 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [12, -15, 39, -34, -28, -81, 37, 3, 50]

Pass 1:
  Compare 12 and -15
  Swap 12 and -15
  List after swap: [-15, 12, 39, -34, -28, -81, 37, 3, 50]
  Compare 12 and 39
  No swap needed
  Compare 39 and -34
  Swap 39 and -34
  List after swap: [-15, 12, -34, 39, -28, -81, 37, 3, 50]
  Compare 39 and -28
  Swap 39 and -28
  List after swap: [-15, 12, -34, -28, 39, -81, 37, 3, 50]
  Compare 39 and -81
  Swap 39 and -81
  List after swap: [-15, 12, -34, -28, -81, 39, 37, 3, 50]
  Compare 39 and 37
  Swap 39 and 37
  List after swap: [-15, 12, -34, -28, -81, 37, 39, 3, 50]
  Compare 39 and 3
  Swap 39 and 3
  List after swap: [-15, 12, -34, -28, -81, 37, 3, 39, 50]
  Compare 39 and 50
  No swap needed

Pass 2:
  Compare -15 and 12
  No swap needed
  Compare 12 and -34
  Swap 12 and -34
  List after swap: [-15, -34, 12, -28, -81, 37, 3, 39, 50]
  Compare 12 and -28
  Swap 12 and -28
  List after swap: [-15, -34, -28, 12, -81, 37, 3, 39, 50]
  Compare 12 and -81
  Swap 12 and -81
  List after swap: [-15, -34, -28, -81, 12, 37, 3, 39, 50]
  Compare 12 and 37
  No swap needed
  Compare 37 and 3
  Swap 37 and 3
  List after swap: [-15, -34, -28, -81, 12, 3, 37, 39, 50]
  Compare 37 and 39
  No swap needed

Pass 3:
  Compare -15 and -34
  Swap -15 and -34
  List after swap: [-34, -15, -28, -81, 12, 3, 37, 39, 50]
  Compare -15 and -28
  Swap -15 and -28
  List after swap: [-34, -28, -15, -81, 12, 3, 37, 39, 50]
  Compare -15 and -81
  Swap -15 and -81
  List after swap: [-34, -28, -81, -15, 12, 3, 37, 39, 50]
  Compare -15 and 12
  No swap needed
  Compare 12 and 3
  Swap 12 and 3
  List after swap: [-34, -28, -81, -15, 3, 12, 37, 39, 50]
  Compare 12 and 37
  No swap needed

Pass 4:
  Compare -34 and -28
  No swap needed
  Compare -28 and -81
  Swap -28 and -81
  List after swap: [-34, -81, -28, -15, 3, 12, 37, 39, 50]
  Compare -28 and -15
  No swap needed
  Compare -15 and 3
  No swap needed
  Compare 3 and 12
  No swap needed

Pass 5:
  Compare -34 and -81
  Swap -34 and -81
  List after swap: [-81, -34, -28, -15, 3, 12, 37, 39, 50]
  Compare -34 and -28
  No swap needed
  Compare -28 and -15
  No swap needed
  Compare -15 and 3
  No swap needed

Pass 6:
  Compare -81 and -34
  No swap needed
  Compare -34 and -28
  No swap needed
  Compare -28 and -15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -34, -28, -15, 3, 12, 37, 39, 50]
</think>

<response>-81, -34, -28, -15, 3, 12, 37, 39, 50</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 94, 93, 2, 79, -82, 86, 83, -14, -43, 38.

output:
<think>
Initial list: [94, 93, 2, 79, -82, 86, 83, -14, -43, 38]

Pass 1:
  Compare 94 and 93
  Swap 94 and 93
  List after swap: [93, 94, 2, 79, -82, 86, 83, -14, -43, 38]
  Compare 94 and 2
  Swap 94 and 2
  List after swap: [93, 2, 94, 79, -82, 86, 83, -14, -43, 38]
  Compare 94 and 79
  Swap 94 and 79
  List after swap: [93, 2, 79, 94, -82, 86, 83, -14, -43, 38]
  Compare 94 and -82
  Swap 94 and -82
  List after swap: [93, 2, 79, -82, 94, 86, 83, -14, -43, 38]
  Compare 94 and 86
  Swap 94 and 86
  List after swap: [93, 2, 79, -82, 86, 94, 83, -14, -43, 38]
  Compare 94 and 83
  Swap 94 and 83
  List after swap: [93, 2, 79, -82, 86, 83, 94, -14, -43, 38]
  Compare 94 and -14
  Swap 94 and -14
  List after swap: [93, 2, 79, -82, 86, 83, -14, 94, -43, 38]
  Compare 94 and -43
  Swap 94 and -43
  List after swap: [93, 2, 79, -82, 86, 83, -14, -43, 94, 38]
  Compare 94 and 38
  Swap 94 and 38
  List after swap: [93, 2, 79, -82, 86, 83, -14, -43, 38, 94]

Pass 2:
  Compare 93 and 2
  Swap 93 and 2
  List after swap: [2, 93, 79, -82, 86, 83, -14, -43, 38, 94]
  Compare 93 and 79
  Swap 93 and 79
  List after swap: [2, 79, 93, -82, 86, 83, -14, -43, 38, 94]
  Compare 93 and -82
  Swap 93 and -82
  List after swap: [2, 79, -82, 93, 86, 83, -14, -43, 38, 94]
  Compare 93 and 86
  Swap 93 and 86
  List after swap: [2, 79, -82, 86, 93, 83, -14, -43, 38, 94]
  Compare 93 and 83
  Swap 93 and 83
  List after swap: [2, 79, -82, 86, 83, 93, -14, -43, 38, 94]
  Compare 93 and -14
  Swap 93 and -14
  List after swap: [2, 79, -82, 86, 83, -14, 93, -43, 38, 94]
  Compare 93 and -43
  Swap 93 and -43
  List after swap: [2, 79, -82, 86, 83, -14, -43, 93, 38, 94]
  Compare 93 and 38
  Swap 93 and 38
  List after swap: [2, 79, -82, 86, 83, -14, -43, 38, 93, 94]

Pass 3:
  Compare 2 and 79
  No swap needed
  Compare 79 and -82
  Swap 79 and -82
  List after swap: [2, -82, 79, 86, 83, -14, -43, 38, 93, 94]
  Compare 79 and 86
  No swap needed
  Compare 86 and 83
  Swap 86 and 83
  List after swap: [2, -82, 79, 83, 86, -14, -43, 38, 93, 94]
  Compare 86 and -14
  Swap 86 and -14
  List after swap: [2, -82, 79, 83, -14, 86, -43, 38, 93, 94]
  Compare 86 and -43
  Swap 86 and -43
  List after swap: [2, -82, 79, 83, -14, -43, 86, 38, 93, 94]
  Compare 86 and 38
  Swap 86 and 38
  List after swap: [2, -82, 79, 83, -14, -43, 38, 86, 93, 94]

Pass 4:
  Compare 2 and -82
  Swap 2 and -82
  List after swap: [-82, 2, 79, 83, -14, -43, 38, 86, 93, 94]
  Compare 2 and 79
  No swap needed
  Compare 79 and 83
  No swap needed
  Compare 83 and -14
  Swap 83 and -14
  List after swap: [-82, 2, 79, -14, 83, -43, 38, 86, 93, 94]
  Compare 83 and -43
  Swap 83 and -43
  List after swap: [-82, 2, 79, -14, -43, 83, 38, 86, 93, 94]
  Compare 83 and 38
  Swap 83 and 38
  List after swap: [-82, 2, 79, -14, -43, 38, 83, 86, 93, 94]

Pass 5:
  Compare -82 and 2
  No swap needed
  Compare 2 and 79
  No swap needed
  Compare 79 and -14
  Swap 79 and -14
  List after swap: [-82, 2, -14, 79, -43, 38, 83, 86, 93, 94]
  Compare 79 and -43
  Swap 79 and -43
  List after swap: [-82, 2, -14, -43, 79, 38, 83, 86, 93, 94]
  Compare 79 and 38
  Swap 79 and 38
  List after swap: [-82, 2, -14, -43, 38, 79, 83, 86, 93, 94]

Pass 6:
  Compare -82 and 2
  No swap needed
  Compare 2 and -14
  Swap 2 and -14
  List after swap: [-82, -14, 2, -43, 38, 79, 83, 86, 93, 94]
  Compare 2 and -43
  Swap 2 and -43
  List after swap: [-82, -14, -43, 2, 38, 79, 83, 86, 93, 94]
  Compare 2 and 38
  No swap needed

Pass 7:
  Compare -82 and -14
  No swap needed
  Compare -14 and -43
  Swap -14 and -43
  List after swap: [-82, -43, -14, 2, 38, 79, 83, 86, 93, 94]
  Compare -14 and 2
  No swap needed

Pass 8:
  Compare -82 and -43
  No swap needed
  Compare -43 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -43, -14, 2, 38, 79, 83, 86, 93, 94]
</think>

<response>-82, -43, -14, 2, 38, 79, 83, 86, 93, 94</response>


input: Carry out the bubble sort algorithm on 67, -96, -3, -41, -89, -54, -70, -57 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [67, -96, -3, -41, -89, -54, -70, -57]

Pass 1:
  Compare 67 and -96
  Swap 67 and -96
  List after swap: [-96, 67, -3, -41, -89, -54, -70, -57]
  Compare 67 and -3
  Swap 67 and -3
  List after swap: [-96, -3, 67, -41, -89, -54, -70, -57]
  Compare 67 and -41
  Swap 67 and -41
  List after swap: [-96, -3, -41, 67, -89, -54, -70, -57]
  Compare 67 and -89
  Swap 67 and -89
  List after swap: [-96, -3, -41, -89, 67, -54, -70, -57]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-96, -3, -41, -89, -54, 67, -70, -57]
  Compare 67 and -70
  Swap 67 and -70
  List after swap: [-96, -3, -41, -89, -54, -70, 67, -57]
  Compare 67 and -57
  Swap 67 and -57
  List after swap: [-96, -3, -41, -89, -54, -70, -57, 67]

Pass 2:
  Compare -96 and -3
  No swap needed
  Compare -3 and -41
  Swap -3 and -41
  List after swap: [-96, -41, -3, -89, -54, -70, -57, 67]
  Compare -3 and -89
  Swap -3 and -89
  List after swap: [-96, -41, -89, -3, -54, -70, -57, 67]
  Compare -3 and -54
  Swap -3 and -54
  List after swap: [-96, -41, -89, -54, -3, -70, -57, 67]
  Compare -3 and -70
  Swap -3 and -70
  List after swap: [-96, -41, -89, -54, -70, -3, -57, 67]
  Compare -3 and -57
  Swap -3 and -57
  List after swap: [-96, -41, -89, -54, -70, -57, -3, 67]

Pass 3:
  Compare -96 and -41
  No swap needed
  Compare -41 and -89
  Swap -41 and -89
  List after swap: [-96, -89, -41, -54, -70, -57, -3, 67]
  Compare -41 and -54
  Swap -41 and -54
  List after swap: [-96, -89, -54, -41, -70, -57, -3, 67]
  Compare -41 and -70
  Swap -41 and -70
  List after swap: [-96, -89, -54, -70, -41, -57, -3, 67]
  Compare -41 and -57
  Swap -41 and -57
  List after swap: [-96, -89, -54, -70, -57, -41, -3, 67]

Pass 4:
  Compare -96 and -89
  No swap needed
  Compare -89 and -54
  No swap needed
  Compare -54 and -70
  Swap -54 and -70
  List after swap: [-96, -89, -70, -54, -57, -41, -3, 67]
  Compare -54 and -57
  Swap -54 and -57
  List after swap: [-96, -89, -70, -57, -54, -41, -3, 67]

Pass 5:
  Compare -96 and -89
  No swap needed
  Compare -89 and -70
  No swap needed
  Compare -70 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -89, -70, -57, -54, -41, -3, 67]
</think>

<response>-96, -89, -70, -57, -54, -41, -3, 67</response>


input: Sort the list 10, -79, 27, -54, 41, 87, -49, 68, 58 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [10, -79, 27, -54, 41, 87, -49, 68, 58]

Pass 1:
  Compare 10 and -79
  Swap 10 and -79
  List after swap: [-79, 10, 27, -54, 41, 87, -49, 68, 58]
  Compare 10 and 27
  No swap needed
  Compare 27 and -54
  Swap 27 and -54
  List after swap: [-79, 10, -54, 27, 41, 87, -49, 68, 58]
  Compare 27 and 41
  No swap needed
  Compare 41 and 87
  No swap needed
  Compare 87 and -49
  Swap 87 and -49
  List after swap: [-79, 10, -54, 27, 41, -49, 87, 68, 58]
  Compare 87 and 68
  Swap 87 and 68
  List after swap: [-79, 10, -54, 27, 41, -49, 68, 87, 58]
  Compare 87 and 58
  Swap 87 and 58
  List after swap: [-79, 10, -54, 27, 41, -49, 68, 58, 87]

Pass 2:
  Compare -79 and 10
  No swap needed
  Compare 10 and -54
  Swap 10 and -54
  List after swap: [-79, -54, 10, 27, 41, -49, 68, 58, 87]
  Compare 10 and 27
  No swap needed
  Compare 27 and 41
  No swap needed
  Compare 41 and -49
  Swap 41 and -49
  List after swap: [-79, -54, 10, 27, -49, 41, 68, 58, 87]
  Compare 41 and 68
  No swap needed
  Compare 68 and 58
  Swap 68 and 58
  List after swap: [-79, -54, 10, 27, -49, 41, 58, 68, 87]

Pass 3:
  Compare -79 and -54
  No swap needed
  Compare -54 and 10
  No swap needed
  Compare 10 and 27
  No swap needed
  Compare 27 and -49
  Swap 27 and -49
  List after swap: [-79, -54, 10, -49, 27, 41, 58, 68, 87]
  Compare 27 and 41
  No swap needed
  Compare 41 and 58
  No swap needed

Pass 4:
  Compare -79 and -54
  No swap needed
  Compare -54 and 10
  No swap needed
  Compare 10 and -49
  Swap 10 and -49
  List after swap: [-79, -54, -49, 10, 27, 41, 58, 68, 87]
  Compare 10 and 27
  No swap needed
  Compare 27 and 41
  No swap needed

Pass 5:
  Compare -79 and -54
  No swap needed
  Compare -54 and -49
  No swap needed
  Compare -49 and 10
  No swap needed
  Compare 10 and 27
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -54, -49, 10, 27, 41, 58, 68, 87]
</think>

<response>-79, -54, -49, 10, 27, 41, 58, 68, 87</response>


input: Use the bubble sort technique to reorder 97, 54, 27, 2, -96, -34, -5 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [97, 54, 27, 2, -96, -34, -5]

Pass 1:
  Compare 97 and 54
  Swap 97 and 54
  List after swap: [54, 97, 27, 2, -96, -34, -5]
  Compare 97 and 27
  Swap 97 and 27
  List after swap: [54, 27, 97, 2, -96, -34, -5]
  Compare 97 and 2
  Swap 97 and 2
  List after swap: [54, 27, 2, 97, -96, -34, -5]
  Compare 97 and -96
  Swap 97 and -96
  List after swap: [54, 27, 2, -96, 97, -34, -5]
  Compare 97 and -34
  Swap 97 and -34
  List after swap: [54, 27, 2, -96, -34, 97, -5]
  Compare 97 and -5
  Swap 97 and -5
  List after swap: [54, 27, 2, -96, -34, -5, 97]

Pass 2:
  Compare 54 and 27
  Swap 54 and 27
  List after swap: [27, 54, 2, -96, -34, -5, 97]
  Compare 54 and 2
  Swap 54 and 2
  List after swap: [27, 2, 54, -96, -34, -5, 97]
  Compare 54 and -96
  Swap 54 and -96
  List after swap: [27, 2, -96, 54, -34, -5, 97]
  Compare 54 and -34
  Swap 54 and -34
  List after swap: [27, 2, -96, -34, 54, -5, 97]
  Compare 54 and -5
  Swap 54 and -5
  List after swap: [27, 2, -96, -34, -5, 54, 97]

Pass 3:
  Compare 27 and 2
  Swap 27 and 2
  List after swap: [2, 27, -96, -34, -5, 54, 97]
  Compare 27 and -96
  Swap 27 and -96
  List after swap: [2, -96, 27, -34, -5, 54, 97]
  Compare 27 and -34
  Swap 27 and -34
  List after swap: [2, -96, -34, 27, -5, 54, 97]
  Compare 27 and -5
  Swap 27 and -5
  List after swap: [2, -96, -34, -5, 27, 54, 97]

Pass 4:
  Compare 2 and -96
  Swap 2 and -96
  List after swap: [-96, 2, -34, -5, 27, 54, 97]
  Compare 2 and -34
  Swap 2 and -34
  List after swap: [-96, -34, 2, -5, 27, 54, 97]
  Compare 2 and -5
  Swap 2 and -5
  List after swap: [-96, -34, -5, 2, 27, 54, 97]

Pass 5:
  Compare -96 and -34
  No swap needed
  Compare -34 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -34, -5, 2, 27, 54, 97]
</think>

<response>-96, -34, -5, 2, 27, 54, 97</response>


input: Arrange the numbers -75, -6, -76 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-75, -6, -76]

Pass 1:
  Compare -75 and -6
  No swap needed
  Compare -6 and -76
  Swap -6 and -76
  List after swap: [-75, -76, -6]

Pass 2:
  Compare -75 and -76
  Swap -75 and -76
  List after swap: [-76, -75, -6]

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

Final sorted list: [-76, -75, -6]
</think>

<response>-76, -75, -6</response>


input: Execute bubble sort to sort 40, 64, -39, -40, 14, -46 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [40, 64, -39, -40, 14, -46]

Pass 1:
  Compare 40 and 64
  No swap needed
  Compare 64 and -39
  Swap 64 and -39
  List after swap: [40, -39, 64, -40, 14, -46]
  Compare 64 and -40
  Swap 64 and -40
  List after swap: [40, -39, -40, 64, 14, -46]
  Compare 64 and 14
  Swap 64 and 14
  List after swap: [40, -39, -40, 14, 64, -46]
  Compare 64 and -46
  Swap 64 and -46
  List after swap: [40, -39, -40, 14, -46, 64]

Pass 2:
  Compare 40 and -39
  Swap 40 and -39
  List after swap: [-39, 40, -40, 14, -46, 64]
  Compare 40 and -40
  Swap 40 and -40
  List after swap: [-39, -40, 40, 14, -46, 64]
  Compare 40 and 14
  Swap 40 and 14
  List after swap: [-39, -40, 14, 40, -46, 64]
  Compare 40 and -46
  Swap 40 and -46
  List after swap: [-39, -40, 14, -46, 40, 64]

Pass 3:
  Compare -39 and -40
  Swap -39 and -40
  List after swap: [-40, -39, 14, -46, 40, 64]
  Compare -39 and 14
  No swap needed
  Compare 14 and -46
  Swap 14 and -46
  List after swap: [-40, -39, -46, 14, 40, 64]

Pass 4:
  Compare -40 and -39
  No swap needed
  Compare -39 and -46
  Swap -39 and -46
  List after swap: [-40, -46, -39, 14, 40, 64]

Pass 5:
  Compare -40 and -46
  Swap -40 and -46
  List after swap: [-46, -40, -39, 14, 40, 64]

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

Final sorted list: [-46, -40, -39, 14, 40, 64]
</think>

<response>-46, -40, -39, 14, 40, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 36, 91, 13, -78, 77, -62.

output:
<think>
Initial list: [36, 91, 13, -78, 77, -62]

Pass 1:
  Compare 36 and 91
  No swap needed
  Compare 91 and 13
  Swap 91 and 13
  List after swap: [36, 13, 91, -78, 77, -62]
  Compare 91 and -78
  Swap 91 and -78
  List after swap: [36, 13, -78, 91, 77, -62]
  Compare 91 and 77
  Swap 91 and 77
  List after swap: [36, 13, -78, 77, 91, -62]
  Compare 91 and -62
  Swap 91 and -62
  List after swap: [36, 13, -78, 77, -62, 91]

Pass 2:
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [13, 36, -78, 77, -62, 91]
  Compare 36 and -78
  Swap 36 and -78
  List after swap: [13, -78, 36, 77, -62, 91]
  Compare 36 and 77
  No swap needed
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [13, -78, 36, -62, 77, 91]

Pass 3:
  Compare 13 and -78
  Swap 13 and -78
  List after swap: [-78, 13, 36, -62, 77, 91]
  Compare 13 and 36
  No swap needed
  Compare 36 and -62
  Swap 36 and -62
  List after swap: [-78, 13, -62, 36, 77, 91]

Pass 4:
  Compare -78 and 13
  No swap needed
  Compare 13 and -62
  Swap 13 and -62
  List after swap: [-78, -62, 13, 36, 77, 91]

Pass 5:
  Compare -78 and -62
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-78, -62, 13, 36, 77, 91]
</think>

<response>-78, -62, 13, 36, 77, 91</response>


input: Demonstrate how bubble sort orders the integers -67, -91, -88, -49, -46, 6, -93, 0, 9, -96 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-67, -91, -88, -49, -46, 6, -93, 0, 9, -96]

Pass 1:
  Compare -67 and -91
  Swap -67 and -91
  List after swap: [-91, -67, -88, -49, -46, 6, -93, 0, 9, -96]
  Compare -67 and -88
  Swap -67 and -88
  List after swap: [-91, -88, -67, -49, -46, 6, -93, 0, 9, -96]
  Compare -67 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and 6
  No swap needed
  Compare 6 and -93
  Swap 6 and -93
  List after swap: [-91, -88, -67, -49, -46, -93, 6, 0, 9, -96]
  Compare 6 and 0
  Swap 6 and 0
  List after swap: [-91, -88, -67, -49, -46, -93, 0, 6, 9, -96]
  Compare 6 and 9
  No swap needed
  Compare 9 and -96
  Swap 9 and -96
  List after swap: [-91, -88, -67, -49, -46, -93, 0, 6, -96, 9]

Pass 2:
  Compare -91 and -88
  No swap needed
  Compare -88 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and -93
  Swap -46 and -93
  List after swap: [-91, -88, -67, -49, -93, -46, 0, 6, -96, 9]
  Compare -46 and 0
  No swap needed
  Compare 0 and 6
  No swap needed
  Compare 6 and -96
  Swap 6 and -96
  List after swap: [-91, -88, -67, -49, -93, -46, 0, -96, 6, 9]

Pass 3:
  Compare -91 and -88
  No swap needed
  Compare -88 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -93
  Swap -49 and -93
  List after swap: [-91, -88, -67, -93, -49, -46, 0, -96, 6, 9]
  Compare -49 and -46
  No swap needed
  Compare -46 and 0
  No swap needed
  Compare 0 and -96
  Swap 0 and -96
  List after swap: [-91, -88, -67, -93, -49, -46, -96, 0, 6, 9]

Pass 4:
  Compare -91 and -88
  No swap needed
  Compare -88 and -67
  No swap needed
  Compare -67 and -93
  Swap -67 and -93
  List after swap: [-91, -88, -93, -67, -49, -46, -96, 0, 6, 9]
  Compare -67 and -49
  No swap needed
  Compare -49 and -46
  No swap needed
  Compare -46 and -96
  Swap -46 and -96
  List after swap: [-91, -88, -93, -67, -49, -96, -46, 0, 6, 9]

Pass 5:
  Compare -91 and -88
  No swap needed
  Compare -88 and -93
  Swap -88 and -93
  List after swap: [-91, -93, -88, -67, -49, -96, -46, 0, 6, 9]
  Compare -88 and -67
  No swap needed
  Compare -67 and -49
  No swap needed
  Compare -49 and -96
  Swap -49 and -96
  List after swap: [-91, -93, -88, -67, -96, -49, -46, 0, 6, 9]

Pass 6:
  Compare -91 and -93
  Swap -91 and -93
  List after swap: [-93, -91, -88, -67, -96, -49, -46, 0, 6, 9]
  Compare -91 and -88
  No swap needed
  Compare -88 and -67
  No swap needed
  Compare -67 and -96
  Swap -67 and -96
  List after swap: [-93, -91, -88, -96, -67, -49, -46, 0, 6, 9]

Pass 7:
  Compare -93 and -91
  No swap needed
  Compare -91 and -88
  No swap needed
  Compare -88 and -96
  Swap -88 and -96
  List after swap: [-93, -91, -96, -88, -67, -49, -46, 0, 6, 9]

Pass 8:
  Compare -93 and -91
  No swap needed
  Compare -91 and -96
  Swap -91 and -96
  List after swap: [-93, -96, -91, -88, -67, -49, -46, 0, 6, 9]

Pass 9:
  Compare -93 and -96
  Swap -93 and -96
  List after swap: [-96, -93, -91, -88, -67, -49, -46, 0, 6, 9]

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

Final sorted list: [-96, -93, -91, -88, -67, -49, -46, 0, 6, 9]
</think>

<response>-96, -93, -91, -88, -67, -49, -46, 0, 6, 9</response>


input: Implement bubble sort on -45, 7, 25, 87, -1, -54, 98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-45, 7, 25, 87, -1, -54, 98]

Pass 1:
  Compare -45 and 7
  No swap needed
  Compare 7 and 25
  No swap needed
  Compare 25 and 87
  No swap needed
  Compare 87 and -1
  Swap 87 and -1
  List after swap: [-45, 7, 25, -1, 87, -54, 98]
  Compare 87 and -54
  Swap 87 and -54
  List after swap: [-45, 7, 25, -1, -54, 87, 98]
  Compare 87 and 98
  No swap needed

Pass 2:
  Compare -45 and 7
  No swap needed
  Compare 7 and 25
  No swap needed
  Compare 25 and -1
  Swap 25 and -1
  List after swap: [-45, 7, -1, 25, -54, 87, 98]
  Compare 25 and -54
  Swap 25 and -54
  List after swap: [-45, 7, -1, -54, 25, 87, 98]
  Compare 25 and 87
  No swap needed

Pass 3:
  Compare -45 and 7
  No swap needed
  Compare 7 and -1
  Swap 7 and -1
  List after swap: [-45, -1, 7, -54, 25, 87, 98]
  Compare 7 and -54
  Swap 7 and -54
  List after swap: [-45, -1, -54, 7, 25, 87, 98]
  Compare 7 and 25
  No swap needed

Pass 4:
  Compare -45 and -1
  No swap needed
  Compare -1 and -54
  Swap -1 and -54
  List after swap: [-45, -54, -1, 7, 25, 87, 98]
  Compare -1 and 7
  No swap needed

Pass 5:
  Compare -45 and -54
  Swap -45 and -54
  List after swap: [-54, -45, -1, 7, 25, 87, 98]
  Compare -45 and -1
  No swap needed

Pass 6:
  Compare -54 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-54, -45, -1, 7, 25, 87, 98]
</think>

<response>-54, -45, -1, 7, 25, 87, 98</response>


input: Demonstrate how bubble sort orders the integers -94, -23, 89, 61, -17, -71, -90, 56 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-94, -23, 89, 61, -17, -71, -90, 56]

Pass 1:
  Compare -94 and -23
  No swap needed
  Compare -23 and 89
  No swap needed
  Compare 89 and 61
  Swap 89 and 61
  List after swap: [-94, -23, 61, 89, -17, -71, -90, 56]
  Compare 89 and -17
  Swap 89 and -17
  List after swap: [-94, -23, 61, -17, 89, -71, -90, 56]
  Compare 89 and -71
  Swap 89 and -71
  List after swap: [-94, -23, 61, -17, -71, 89, -90, 56]
  Compare 89 and -90
  Swap 89 and -90
  List after swap: [-94, -23, 61, -17, -71, -90, 89, 56]
  Compare 89 and 56
  Swap 89 and 56
  List after swap: [-94, -23, 61, -17, -71, -90, 56, 89]

Pass 2:
  Compare -94 and -23
  No swap needed
  Compare -23 and 61
  No swap needed
  Compare 61 and -17
  Swap 61 and -17
  List after swap: [-94, -23, -17, 61, -71, -90, 56, 89]
  Compare 61 and -71
  Swap 61 and -71
  List after swap: [-94, -23, -17, -71, 61, -90, 56, 89]
  Compare 61 and -90
  Swap 61 and -90
  List after swap: [-94, -23, -17, -71, -90, 61, 56, 89]
  Compare 61 and 56
  Swap 61 and 56
  List after swap: [-94, -23, -17, -71, -90, 56, 61, 89]

Pass 3:
  Compare -94 and -23
  No swap needed
  Compare -23 and -17
  No swap needed
  Compare -17 and -71
  Swap -17 and -71
  List after swap: [-94, -23, -71, -17, -90, 56, 61, 89]
  Compare -17 and -90
  Swap -17 and -90
  List after swap: [-94, -23, -71, -90, -17, 56, 61, 89]
  Compare -17 and 56
  No swap needed

Pass 4:
  Compare -94 and -23
  No swap needed
  Compare -23 and -71
  Swap -23 and -71
  List after swap: [-94, -71, -23, -90, -17, 56, 61, 89]
  Compare -23 and -90
  Swap -23 and -90
  List after swap: [-94, -71, -90, -23, -17, 56, 61, 89]
  Compare -23 and -17
  No swap needed

Pass 5:
  Compare -94 and -71
  No swap needed
  Compare -71 and -90
  Swap -71 and -90
  List after swap: [-94, -90, -71, -23, -17, 56, 61, 89]
  Compare -71 and -23
  No swap needed

Pass 6:
  Compare -94 and -90
  No swap needed
  Compare -90 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -90, -71, -23, -17, 56, 61, 89]
</think>

<response>-94, -90, -71, -23, -17, 56, 61, 89</response>


input: Execute bubble sort to sort -66, -88, -92, -95, -90, -74, 82, -20 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-66, -88, -92, -95, -90, -74, 82, -20]

Pass 1:
  Compare -66 and -88
  Swap -66 and -88
  List after swap: [-88, -66, -92, -95, -90, -74, 82, -20]
  Compare -66 and -92
  Swap -66 and -92
  List after swap: [-88, -92, -66, -95, -90, -74, 82, -20]
  Compare -66 and -95
  Swap -66 and -95
  List after swap: [-88, -92, -95, -66, -90, -74, 82, -20]
  Compare -66 and -90
  Swap -66 and -90
  List after swap: [-88, -92, -95, -90, -66, -74, 82, -20]
  Compare -66 and -74
  Swap -66 and -74
  List after swap: [-88, -92, -95, -90, -74, -66, 82, -20]
  Compare -66 and 82
  No swap needed
  Compare 82 and -20
  Swap 82 and -20
  List after swap: [-88, -92, -95, -90, -74, -66, -20, 82]

Pass 2:
  Compare -88 and -92
  Swap -88 and -92
  List after swap: [-92, -88, -95, -90, -74, -66, -20, 82]
  Compare -88 and -95
  Swap -88 and -95
  List after swap: [-92, -95, -88, -90, -74, -66, -20, 82]
  Compare -88 and -90
  Swap -88 and -90
  List after swap: [-92, -95, -90, -88, -74, -66, -20, 82]
  Compare -88 and -74
  No swap needed
  Compare -74 and -66
  No swap needed
  Compare -66 and -20
  No swap needed

Pass 3:
  Compare -92 and -95
  Swap -92 and -95
  List after swap: [-95, -92, -90, -88, -74, -66, -20, 82]
  Compare -92 and -90
  No swap needed
  Compare -90 and -88
  No swap needed
  Compare -88 and -74
  No swap needed
  Compare -74 and -66
  No swap needed

Pass 4:
  Compare -95 and -92
  No swap needed
  Compare -92 and -90
  No swap needed
  Compare -90 and -88
  No swap needed
  Compare -88 and -74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -92, -90, -88, -74, -66, -20, 82]
</think>

<response>-95, -92, -90, -88, -74, -66, -20, 82</response>


input: Sort the list 79, -94 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [79, -94]

Pass 1:
  Compare 79 and -94
  Swap 79 and -94
  List after swap: [-94, 79]

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

Final sorted list: [-94, 79]
</think>

<response>-94, 79</response>