input: Use bubble sort to organize these integers in increasing order and record each step taken: -46, 47, 80, 21, -2, 0, -67, 35.

output:
<think>
Initial list: [-46, 47, 80, 21, -2, 0, -67, 35]

Pass 1:
  Compare -46 and 47
  No swap needed
  Compare 47 and 80
  No swap needed
  Compare 80 and 21
  Swap 80 and 21
  List after swap: [-46, 47, 21, 80, -2, 0, -67, 35]
  Compare 80 and -2
  Swap 80 and -2
  List after swap: [-46, 47, 21, -2, 80, 0, -67, 35]
  Compare 80 and 0
  Swap 80 and 0
  List after swap: [-46, 47, 21, -2, 0, 80, -67, 35]
  Compare 80 and -67
  Swap 80 and -67
  List after swap: [-46, 47, 21, -2, 0, -67, 80, 35]
  Compare 80 and 35
  Swap 80 and 35
  List after swap: [-46, 47, 21, -2, 0, -67, 35, 80]

Pass 2:
  Compare -46 and 47
  No swap needed
  Compare 47 and 21
  Swap 47 and 21
  List after swap: [-46, 21, 47, -2, 0, -67, 35, 80]
  Compare 47 and -2
  Swap 47 and -2
  List after swap: [-46, 21, -2, 47, 0, -67, 35, 80]
  Compare 47 and 0
  Swap 47 and 0
  List after swap: [-46, 21, -2, 0, 47, -67, 35, 80]
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-46, 21, -2, 0, -67, 47, 35, 80]
  Compare 47 and 35
  Swap 47 and 35
  List after swap: [-46, 21, -2, 0, -67, 35, 47, 80]

Pass 3:
  Compare -46 and 21
  No swap needed
  Compare 21 and -2
  Swap 21 and -2
  List after swap: [-46, -2, 21, 0, -67, 35, 47, 80]
  Compare 21 and 0
  Swap 21 and 0
  List after swap: [-46, -2, 0, 21, -67, 35, 47, 80]
  Compare 21 and -67
  Swap 21 and -67
  List after swap: [-46, -2, 0, -67, 21, 35, 47, 80]
  Compare 21 and 35
  No swap needed

Pass 4:
  Compare -46 and -2
  No swap needed
  Compare -2 and 0
  No swap needed
  Compare 0 and -67
  Swap 0 and -67
  List after swap: [-46, -2, -67, 0, 21, 35, 47, 80]
  Compare 0 and 21
  No swap needed

Pass 5:
  Compare -46 and -2
  No swap needed
  Compare -2 and -67
  Swap -2 and -67
  List after swap: [-46, -67, -2, 0, 21, 35, 47, 80]
  Compare -2 and 0
  No swap needed

Pass 6:
  Compare -46 and -67
  Swap -46 and -67
  List after swap: [-67, -46, -2, 0, 21, 35, 47, 80]
  Compare -46 and -2
  No swap needed

Pass 7:
  Compare -67 and -46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -46, -2, 0, 21, 35, 47, 80]
</think>

<response>-67, -46, -2, 0, 21, 35, 47, 80</response>


input: Perform a bubble sort on the integers -62, 54, 28, 68, -9, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-62, 54, 28, 68, -9]

Pass 1:
  Compare -62 and 54
  No swap needed
  Compare 54 and 28
  Swap 54 and 28
  List after swap: [-62, 28, 54, 68, -9]
  Compare 54 and 68
  No swap needed
  Compare 68 and -9
  Swap 68 and -9
  List after swap: [-62, 28, 54, -9, 68]

Pass 2:
  Compare -62 and 28
  No swap needed
  Compare 28 and 54
  No swap needed
  Compare 54 and -9
  Swap 54 and -9
  List after swap: [-62, 28, -9, 54, 68]

Pass 3:
  Compare -62 and 28
  No swap needed
  Compare 28 and -9
  Swap 28 and -9
  List after swap: [-62, -9, 28, 54, 68]

Pass 4:
  Compare -62 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -9, 28, 54, 68]
</think>

<response>-62, -9, 28, 54, 68</response>


input: Using the bubble sort method, sort 48, 34, 85, 0, -60 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [48, 34, 85, 0, -60]

Pass 1:
  Compare 48 and 34
  Swap 48 and 34
  List after swap: [34, 48, 85, 0, -60]
  Compare 48 and 85
  No swap needed
  Compare 85 and 0
  Swap 85 and 0
  List after swap: [34, 48, 0, 85, -60]
  Compare 85 and -60
  Swap 85 and -60
  List after swap: [34, 48, 0, -60, 85]

Pass 2:
  Compare 34 and 48
  No swap needed
  Compare 48 and 0
  Swap 48 and 0
  List after swap: [34, 0, 48, -60, 85]
  Compare 48 and -60
  Swap 48 and -60
  List after swap: [34, 0, -60, 48, 85]

Pass 3:
  Compare 34 and 0
  Swap 34 and 0
  List after swap: [0, 34, -60, 48, 85]
  Compare 34 and -60
  Swap 34 and -60
  List after swap: [0, -60, 34, 48, 85]

Pass 4:
  Compare 0 and -60
  Swap 0 and -60
  List after swap: [-60, 0, 34, 48, 85]

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

Final sorted list: [-60, 0, 34, 48, 85]
</think>

<response>-60, 0, 34, 48, 85</response>


input: Implement bubble sort on 91, -5, -88, 36, 48, -38 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [91, -5, -88, 36, 48, -38]

Pass 1:
  Compare 91 and -5
  Swap 91 and -5
  List after swap: [-5, 91, -88, 36, 48, -38]
  Compare 91 and -88
  Swap 91 and -88
  List after swap: [-5, -88, 91, 36, 48, -38]
  Compare 91 and 36
  Swap 91 and 36
  List after swap: [-5, -88, 36, 91, 48, -38]
  Compare 91 and 48
  Swap 91 and 48
  List after swap: [-5, -88, 36, 48, 91, -38]
  Compare 91 and -38
  Swap 91 and -38
  List after swap: [-5, -88, 36, 48, -38, 91]

Pass 2:
  Compare -5 and -88
  Swap -5 and -88
  List after swap: [-88, -5, 36, 48, -38, 91]
  Compare -5 and 36
  No swap needed
  Compare 36 and 48
  No swap needed
  Compare 48 and -38
  Swap 48 and -38
  List after swap: [-88, -5, 36, -38, 48, 91]

Pass 3:
  Compare -88 and -5
  No swap needed
  Compare -5 and 36
  No swap needed
  Compare 36 and -38
  Swap 36 and -38
  List after swap: [-88, -5, -38, 36, 48, 91]

Pass 4:
  Compare -88 and -5
  No swap needed
  Compare -5 and -38
  Swap -5 and -38
  List after swap: [-88, -38, -5, 36, 48, 91]

Pass 5:
  Compare -88 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -38, -5, 36, 48, 91]
</think>

<response>-88, -38, -5, 36, 48, 91</response>


input: Demonstrate how bubble sort orders the integers -12, -84, -49, 88, 41 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-12, -84, -49, 88, 41]

Pass 1:
  Compare -12 and -84
  Swap -12 and -84
  List after swap: [-84, -12, -49, 88, 41]
  Compare -12 and -49
  Swap -12 and -49
  List after swap: [-84, -49, -12, 88, 41]
  Compare -12 and 88
  No swap needed
  Compare 88 and 41
  Swap 88 and 41
  List after swap: [-84, -49, -12, 41, 88]

Pass 2:
  Compare -84 and -49
  No swap needed
  Compare -49 and -12
  No swap needed
  Compare -12 and 41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -49, -12, 41, 88]
</think>

<response>-84, -49, -12, 41, 88</response>


input: Demonstrate how bubble sort orders the integers 49, 68, -98, 33, -45 in ascending sequence, showing all steps.

output:
<think>
Initial list: [49, 68, -98, 33, -45]

Pass 1:
  Compare 49 and 68
  No swap needed
  Compare 68 and -98
  Swap 68 and -98
  List after swap: [49, -98, 68, 33, -45]
  Compare 68 and 33
  Swap 68 and 33
  List after swap: [49, -98, 33, 68, -45]
  Compare 68 and -45
  Swap 68 and -45
  List after swap: [49, -98, 33, -45, 68]

Pass 2:
  Compare 49 and -98
  Swap 49 and -98
  List after swap: [-98, 49, 33, -45, 68]
  Compare 49 and 33
  Swap 49 and 33
  List after swap: [-98, 33, 49, -45, 68]
  Compare 49 and -45
  Swap 49 and -45
  List after swap: [-98, 33, -45, 49, 68]

Pass 3:
  Compare -98 and 33
  No swap needed
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-98, -45, 33, 49, 68]

Pass 4:
  Compare -98 and -45
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -45, 33, 49, 68]
</think>

<response>-98, -45, 33, 49, 68</response>


input: Sort the list 67, -43, 23, -74, 45, -99, 54, 73 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [67, -43, 23, -74, 45, -99, 54, 73]

Pass 1:
  Compare 67 and -43
  Swap 67 and -43
  List after swap: [-43, 67, 23, -74, 45, -99, 54, 73]
  Compare 67 and 23
  Swap 67 and 23
  List after swap: [-43, 23, 67, -74, 45, -99, 54, 73]
  Compare 67 and -74
  Swap 67 and -74
  List after swap: [-43, 23, -74, 67, 45, -99, 54, 73]
  Compare 67 and 45
  Swap 67 and 45
  List after swap: [-43, 23, -74, 45, 67, -99, 54, 73]
  Compare 67 and -99
  Swap 67 and -99
  List after swap: [-43, 23, -74, 45, -99, 67, 54, 73]
  Compare 67 and 54
  Swap 67 and 54
  List after swap: [-43, 23, -74, 45, -99, 54, 67, 73]
  Compare 67 and 73
  No swap needed

Pass 2:
  Compare -43 and 23
  No swap needed
  Compare 23 and -74
  Swap 23 and -74
  List after swap: [-43, -74, 23, 45, -99, 54, 67, 73]
  Compare 23 and 45
  No swap needed
  Compare 45 and -99
  Swap 45 and -99
  List after swap: [-43, -74, 23, -99, 45, 54, 67, 73]
  Compare 45 and 54
  No swap needed
  Compare 54 and 67
  No swap needed

Pass 3:
  Compare -43 and -74
  Swap -43 and -74
  List after swap: [-74, -43, 23, -99, 45, 54, 67, 73]
  Compare -43 and 23
  No swap needed
  Compare 23 and -99
  Swap 23 and -99
  List after swap: [-74, -43, -99, 23, 45, 54, 67, 73]
  Compare 23 and 45
  No swap needed
  Compare 45 and 54
  No swap needed

Pass 4:
  Compare -74 and -43
  No swap needed
  Compare -43 and -99
  Swap -43 and -99
  List after swap: [-74, -99, -43, 23, 45, 54, 67, 73]
  Compare -43 and 23
  No swap needed
  Compare 23 and 45
  No swap needed

Pass 5:
  Compare -74 and -99
  Swap -74 and -99
  List after swap: [-99, -74, -43, 23, 45, 54, 67, 73]
  Compare -74 and -43
  No swap needed
  Compare -43 and 23
  No swap needed

Pass 6:
  Compare -99 and -74
  No swap needed
  Compare -74 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -74, -43, 23, 45, 54, 67, 73]
</think>

<response>-99, -74, -43, 23, 45, 54, 67, 73</response>


input: Using the bubble sort method, sort -52, -95, -34, -38 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-52, -95, -34, -38]

Pass 1:
  Compare -52 and -95
  Swap -52 and -95
  List after swap: [-95, -52, -34, -38]
  Compare -52 and -34
  No swap needed
  Compare -34 and -38
  Swap -34 and -38
  List after swap: [-95, -52, -38, -34]

Pass 2:
  Compare -95 and -52
  No swap needed
  Compare -52 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -52, -38, -34]
</think>

<response>-95, -52, -38, -34</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -95, -82, -79, -22, -1, -85, 23, 27, 95.

output:
<think>
Initial list: [-95, -82, -79, -22, -1, -85, 23, 27, 95]

Pass 1:
  Compare -95 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and -22
  No swap needed
  Compare -22 and -1
  No swap needed
  Compare -1 and -85
  Swap -1 and -85
  List after swap: [-95, -82, -79, -22, -85, -1, 23, 27, 95]
  Compare -1 and 23
  No swap needed
  Compare 23 and 27
  No swap needed
  Compare 27 and 95
  No swap needed

Pass 2:
  Compare -95 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and -22
  No swap needed
  Compare -22 and -85
  Swap -22 and -85
  List after swap: [-95, -82, -79, -85, -22, -1, 23, 27, 95]
  Compare -22 and -1
  No swap needed
  Compare -1 and 23
  No swap needed
  Compare 23 and 27
  No swap needed

Pass 3:
  Compare -95 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and -85
  Swap -79 and -85
  List after swap: [-95, -82, -85, -79, -22, -1, 23, 27, 95]
  Compare -79 and -22
  No swap needed
  Compare -22 and -1
  No swap needed
  Compare -1 and 23
  No swap needed

Pass 4:
  Compare -95 and -82
  No swap needed
  Compare -82 and -85
  Swap -82 and -85
  List after swap: [-95, -85, -82, -79, -22, -1, 23, 27, 95]
  Compare -82 and -79
  No swap needed
  Compare -79 and -22
  No swap needed
  Compare -22 and -1
  No swap needed

Pass 5:
  Compare -95 and -85
  No swap needed
  Compare -85 and -82
  No swap needed
  Compare -82 and -79
  No swap needed
  Compare -79 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-95, -85, -82, -79, -22, -1, 23, 27, 95]
</think>

<response>-95, -85, -82, -79, -22, -1, 23, 27, 95</response>


input: Carry out the bubble sort algorithm on -84, 20, -69, 46, 89, -33 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-84, 20, -69, 46, 89, -33]

Pass 1:
  Compare -84 and 20
  No swap needed
  Compare 20 and -69
  Swap 20 and -69
  List after swap: [-84, -69, 20, 46, 89, -33]
  Compare 20 and 46
  No swap needed
  Compare 46 and 89
  No swap needed
  Compare 89 and -33
  Swap 89 and -33
  List after swap: [-84, -69, 20, 46, -33, 89]

Pass 2:
  Compare -84 and -69
  No swap needed
  Compare -69 and 20
  No swap needed
  Compare 20 and 46
  No swap needed
  Compare 46 and -33
  Swap 46 and -33
  List after swap: [-84, -69, 20, -33, 46, 89]

Pass 3:
  Compare -84 and -69
  No swap needed
  Compare -69 and 20
  No swap needed
  Compare 20 and -33
  Swap 20 and -33
  List after swap: [-84, -69, -33, 20, 46, 89]

Pass 4:
  Compare -84 and -69
  No swap needed
  Compare -69 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -69, -33, 20, 46, 89]
</think>

<response>-84, -69, -33, 20, 46, 89</response>


input: Sort the list 3, -91, 50, 22, 0, 12, -75, -5 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [3, -91, 50, 22, 0, 12, -75, -5]

Pass 1:
  Compare 3 and -91
  Swap 3 and -91
  List after swap: [-91, 3, 50, 22, 0, 12, -75, -5]
  Compare 3 and 50
  No swap needed
  Compare 50 and 22
  Swap 50 and 22
  List after swap: [-91, 3, 22, 50, 0, 12, -75, -5]
  Compare 50 and 0
  Swap 50 and 0
  List after swap: [-91, 3, 22, 0, 50, 12, -75, -5]
  Compare 50 and 12
  Swap 50 and 12
  List after swap: [-91, 3, 22, 0, 12, 50, -75, -5]
  Compare 50 and -75
  Swap 50 and -75
  List after swap: [-91, 3, 22, 0, 12, -75, 50, -5]
  Compare 50 and -5
  Swap 50 and -5
  List after swap: [-91, 3, 22, 0, 12, -75, -5, 50]

Pass 2:
  Compare -91 and 3
  No swap needed
  Compare 3 and 22
  No swap needed
  Compare 22 and 0
  Swap 22 and 0
  List after swap: [-91, 3, 0, 22, 12, -75, -5, 50]
  Compare 22 and 12
  Swap 22 and 12
  List after swap: [-91, 3, 0, 12, 22, -75, -5, 50]
  Compare 22 and -75
  Swap 22 and -75
  List after swap: [-91, 3, 0, 12, -75, 22, -5, 50]
  Compare 22 and -5
  Swap 22 and -5
  List after swap: [-91, 3, 0, 12, -75, -5, 22, 50]

Pass 3:
  Compare -91 and 3
  No swap needed
  Compare 3 and 0
  Swap 3 and 0
  List after swap: [-91, 0, 3, 12, -75, -5, 22, 50]
  Compare 3 and 12
  No swap needed
  Compare 12 and -75
  Swap 12 and -75
  List after swap: [-91, 0, 3, -75, 12, -5, 22, 50]
  Compare 12 and -5
  Swap 12 and -5
  List after swap: [-91, 0, 3, -75, -5, 12, 22, 50]

Pass 4:
  Compare -91 and 0
  No swap needed
  Compare 0 and 3
  No swap needed
  Compare 3 and -75
  Swap 3 and -75
  List after swap: [-91, 0, -75, 3, -5, 12, 22, 50]
  Compare 3 and -5
  Swap 3 and -5
  List after swap: [-91, 0, -75, -5, 3, 12, 22, 50]

Pass 5:
  Compare -91 and 0
  No swap needed
  Compare 0 and -75
  Swap 0 and -75
  List after swap: [-91, -75, 0, -5, 3, 12, 22, 50]
  Compare 0 and -5
  Swap 0 and -5
  List after swap: [-91, -75, -5, 0, 3, 12, 22, 50]

Pass 6:
  Compare -91 and -75
  No swap needed
  Compare -75 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -75, -5, 0, 3, 12, 22, 50]
</think>

<response>-91, -75, -5, 0, 3, 12, 22, 50</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 49, 58, 30, 33, 65, 26, 81, -69.

output:
<think>
Initial list: [49, 58, 30, 33, 65, 26, 81, -69]

Pass 1:
  Compare 49 and 58
  No swap needed
  Compare 58 and 30
  Swap 58 and 30
  List after swap: [49, 30, 58, 33, 65, 26, 81, -69]
  Compare 58 and 33
  Swap 58 and 33
  List after swap: [49, 30, 33, 58, 65, 26, 81, -69]
  Compare 58 and 65
  No swap needed
  Compare 65 and 26
  Swap 65 and 26
  List after swap: [49, 30, 33, 58, 26, 65, 81, -69]
  Compare 65 and 81
  No swap needed
  Compare 81 and -69
  Swap 81 and -69
  List after swap: [49, 30, 33, 58, 26, 65, -69, 81]

Pass 2:
  Compare 49 and 30
  Swap 49 and 30
  List after swap: [30, 49, 33, 58, 26, 65, -69, 81]
  Compare 49 and 33
  Swap 49 and 33
  List after swap: [30, 33, 49, 58, 26, 65, -69, 81]
  Compare 49 and 58
  No swap needed
  Compare 58 and 26
  Swap 58 and 26
  List after swap: [30, 33, 49, 26, 58, 65, -69, 81]
  Compare 58 and 65
  No swap needed
  Compare 65 and -69
  Swap 65 and -69
  List after swap: [30, 33, 49, 26, 58, -69, 65, 81]

Pass 3:
  Compare 30 and 33
  No swap needed
  Compare 33 and 49
  No swap needed
  Compare 49 and 26
  Swap 49 and 26
  List after swap: [30, 33, 26, 49, 58, -69, 65, 81]
  Compare 49 and 58
  No swap needed
  Compare 58 and -69
  Swap 58 and -69
  List after swap: [30, 33, 26, 49, -69, 58, 65, 81]

Pass 4:
  Compare 30 and 33
  No swap needed
  Compare 33 and 26
  Swap 33 and 26
  List after swap: [30, 26, 33, 49, -69, 58, 65, 81]
  Compare 33 and 49
  No swap needed
  Compare 49 and -69
  Swap 49 and -69
  List after swap: [30, 26, 33, -69, 49, 58, 65, 81]

Pass 5:
  Compare 30 and 26
  Swap 30 and 26
  List after swap: [26, 30, 33, -69, 49, 58, 65, 81]
  Compare 30 and 33
  No swap needed
  Compare 33 and -69
  Swap 33 and -69
  List after swap: [26, 30, -69, 33, 49, 58, 65, 81]

Pass 6:
  Compare 26 and 30
  No swap needed
  Compare 30 and -69
  Swap 30 and -69
  List after swap: [26, -69, 30, 33, 49, 58, 65, 81]

Pass 7:
  Compare 26 and -69
  Swap 26 and -69
  List after swap: [-69, 26, 30, 33, 49, 58, 65, 81]

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

Final sorted list: [-69, 26, 30, 33, 49, 58, 65, 81]
</think>

<response>-69, 26, 30, 33, 49, 58, 65, 81</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -17, -62, -46, -68, -38, -28, -37.

output:
<think>
Initial list: [-17, -62, -46, -68, -38, -28, -37]

Pass 1:
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-62, -17, -46, -68, -38, -28, -37]
  Compare -17 and -46
  Swap -17 and -46
  List after swap: [-62, -46, -17, -68, -38, -28, -37]
  Compare -17 and -68
  Swap -17 and -68
  List after swap: [-62, -46, -68, -17, -38, -28, -37]
  Compare -17 and -38
  Swap -17 and -38
  List after swap: [-62, -46, -68, -38, -17, -28, -37]
  Compare -17 and -28
  Swap -17 and -28
  List after swap: [-62, -46, -68, -38, -28, -17, -37]
  Compare -17 and -37
  Swap -17 and -37
  List after swap: [-62, -46, -68, -38, -28, -37, -17]

Pass 2:
  Compare -62 and -46
  No swap needed
  Compare -46 and -68
  Swap -46 and -68
  List after swap: [-62, -68, -46, -38, -28, -37, -17]
  Compare -46 and -38
  No swap needed
  Compare -38 and -28
  No swap needed
  Compare -28 and -37
  Swap -28 and -37
  List after swap: [-62, -68, -46, -38, -37, -28, -17]

Pass 3:
  Compare -62 and -68
  Swap -62 and -68
  List after swap: [-68, -62, -46, -38, -37, -28, -17]
  Compare -62 and -46
  No swap needed
  Compare -46 and -38
  No swap needed
  Compare -38 and -37
  No swap needed

Pass 4:
  Compare -68 and -62
  No swap needed
  Compare -62 and -46
  No swap needed
  Compare -46 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-68, -62, -46, -38, -37, -28, -17]
</think>

<response>-68, -62, -46, -38, -37, -28, -17</response>


input: Demonstrate how bubble sort orders the integers 4, 52, -60 in ascending sequence, showing all steps.

output:
<think>
Initial list: [4, 52, -60]

Pass 1:
  Compare 4 and 52
  No swap needed
  Compare 52 and -60
  Swap 52 and -60
  List after swap: [4, -60, 52]

Pass 2:
  Compare 4 and -60
  Swap 4 and -60
  List after swap: [-60, 4, 52]

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

Final sorted list: [-60, 4, 52]
</think>

<response>-60, 4, 52</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 42, -72, 83, -60, 80, 30, -68, 43.

output:
<think>
Initial list: [42, -72, 83, -60, 80, 30, -68, 43]

Pass 1:
  Compare 42 and -72
  Swap 42 and -72
  List after swap: [-72, 42, 83, -60, 80, 30, -68, 43]
  Compare 42 and 83
  No swap needed
  Compare 83 and -60
  Swap 83 and -60
  List after swap: [-72, 42, -60, 83, 80, 30, -68, 43]
  Compare 83 and 80
  Swap 83 and 80
  List after swap: [-72, 42, -60, 80, 83, 30, -68, 43]
  Compare 83 and 30
  Swap 83 and 30
  List after swap: [-72, 42, -60, 80, 30, 83, -68, 43]
  Compare 83 and -68
  Swap 83 and -68
  List after swap: [-72, 42, -60, 80, 30, -68, 83, 43]
  Compare 83 and 43
  Swap 83 and 43
  List after swap: [-72, 42, -60, 80, 30, -68, 43, 83]

Pass 2:
  Compare -72 and 42
  No swap needed
  Compare 42 and -60
  Swap 42 and -60
  List after swap: [-72, -60, 42, 80, 30, -68, 43, 83]
  Compare 42 and 80
  No swap needed
  Compare 80 and 30
  Swap 80 and 30
  List after swap: [-72, -60, 42, 30, 80, -68, 43, 83]
  Compare 80 and -68
  Swap 80 and -68
  List after swap: [-72, -60, 42, 30, -68, 80, 43, 83]
  Compare 80 and 43
  Swap 80 and 43
  List after swap: [-72, -60, 42, 30, -68, 43, 80, 83]

Pass 3:
  Compare -72 and -60
  No swap needed
  Compare -60 and 42
  No swap needed
  Compare 42 and 30
  Swap 42 and 30
  List after swap: [-72, -60, 30, 42, -68, 43, 80, 83]
  Compare 42 and -68
  Swap 42 and -68
  List after swap: [-72, -60, 30, -68, 42, 43, 80, 83]
  Compare 42 and 43
  No swap needed

Pass 4:
  Compare -72 and -60
  No swap needed
  Compare -60 and 30
  No swap needed
  Compare 30 and -68
  Swap 30 and -68
  List after swap: [-72, -60, -68, 30, 42, 43, 80, 83]
  Compare 30 and 42
  No swap needed

Pass 5:
  Compare -72 and -60
  No swap needed
  Compare -60 and -68
  Swap -60 and -68
  List after swap: [-72, -68, -60, 30, 42, 43, 80, 83]
  Compare -60 and 30
  No swap needed

Pass 6:
  Compare -72 and -68
  No swap needed
  Compare -68 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -68, -60, 30, 42, 43, 80, 83]
</think>

<response>-72, -68, -60, 30, 42, 43, 80, 83</response>


input: Implement bubble sort on -64, 82, 91, -19, 34, -56, -91, -43 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-64, 82, 91, -19, 34, -56, -91, -43]

Pass 1:
  Compare -64 and 82
  No swap needed
  Compare 82 and 91
  No swap needed
  Compare 91 and -19
  Swap 91 and -19
  List after swap: [-64, 82, -19, 91, 34, -56, -91, -43]
  Compare 91 and 34
  Swap 91 and 34
  List after swap: [-64, 82, -19, 34, 91, -56, -91, -43]
  Compare 91 and -56
  Swap 91 and -56
  List after swap: [-64, 82, -19, 34, -56, 91, -91, -43]
  Compare 91 and -91
  Swap 91 and -91
  List after swap: [-64, 82, -19, 34, -56, -91, 91, -43]
  Compare 91 and -43
  Swap 91 and -43
  List after swap: [-64, 82, -19, 34, -56, -91, -43, 91]

Pass 2:
  Compare -64 and 82
  No swap needed
  Compare 82 and -19
  Swap 82 and -19
  List after swap: [-64, -19, 82, 34, -56, -91, -43, 91]
  Compare 82 and 34
  Swap 82 and 34
  List after swap: [-64, -19, 34, 82, -56, -91, -43, 91]
  Compare 82 and -56
  Swap 82 and -56
  List after swap: [-64, -19, 34, -56, 82, -91, -43, 91]
  Compare 82 and -91
  Swap 82 and -91
  List after swap: [-64, -19, 34, -56, -91, 82, -43, 91]
  Compare 82 and -43
  Swap 82 and -43
  List after swap: [-64, -19, 34, -56, -91, -43, 82, 91]

Pass 3:
  Compare -64 and -19
  No swap needed
  Compare -19 and 34
  No swap needed
  Compare 34 and -56
  Swap 34 and -56
  List after swap: [-64, -19, -56, 34, -91, -43, 82, 91]
  Compare 34 and -91
  Swap 34 and -91
  List after swap: [-64, -19, -56, -91, 34, -43, 82, 91]
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-64, -19, -56, -91, -43, 34, 82, 91]

Pass 4:
  Compare -64 and -19
  No swap needed
  Compare -19 and -56
  Swap -19 and -56
  List after swap: [-64, -56, -19, -91, -43, 34, 82, 91]
  Compare -19 and -91
  Swap -19 and -91
  List after swap: [-64, -56, -91, -19, -43, 34, 82, 91]
  Compare -19 and -43
  Swap -19 and -43
  List after swap: [-64, -56, -91, -43, -19, 34, 82, 91]

Pass 5:
  Compare -64 and -56
  No swap needed
  Compare -56 and -91
  Swap -56 and -91
  List after swap: [-64, -91, -56, -43, -19, 34, 82, 91]
  Compare -56 and -43
  No swap needed

Pass 6:
  Compare -64 and -91
  Swap -64 and -91
  List after swap: [-91, -64, -56, -43, -19, 34, 82, 91]
  Compare -64 and -56
  No swap needed

Pass 7:
  Compare -91 and -64
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -64, -56, -43, -19, 34, 82, 91]
</think>

<response>-91, -64, -56, -43, -19, 34, 82, 91</response>


input: Carry out the bubble sort algorithm on 4, 44, -66, -31, 87, -53, -37, 22, -99, -61 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [4, 44, -66, -31, 87, -53, -37, 22, -99, -61]

Pass 1:
  Compare 4 and 44
  No swap needed
  Compare 44 and -66
  Swap 44 and -66
  List after swap: [4, -66, 44, -31, 87, -53, -37, 22, -99, -61]
  Compare 44 and -31
  Swap 44 and -31
  List after swap: [4, -66, -31, 44, 87, -53, -37, 22, -99, -61]
  Compare 44 and 87
  No swap needed
  Compare 87 and -53
  Swap 87 and -53
  List after swap: [4, -66, -31, 44, -53, 87, -37, 22, -99, -61]
  Compare 87 and -37
  Swap 87 and -37
  List after swap: [4, -66, -31, 44, -53, -37, 87, 22, -99, -61]
  Compare 87 and 22
  Swap 87 and 22
  List after swap: [4, -66, -31, 44, -53, -37, 22, 87, -99, -61]
  Compare 87 and -99
  Swap 87 and -99
  List after swap: [4, -66, -31, 44, -53, -37, 22, -99, 87, -61]
  Compare 87 and -61
  Swap 87 and -61
  List after swap: [4, -66, -31, 44, -53, -37, 22, -99, -61, 87]

Pass 2:
  Compare 4 and -66
  Swap 4 and -66
  List after swap: [-66, 4, -31, 44, -53, -37, 22, -99, -61, 87]
  Compare 4 and -31
  Swap 4 and -31
  List after swap: [-66, -31, 4, 44, -53, -37, 22, -99, -61, 87]
  Compare 4 and 44
  No swap needed
  Compare 44 and -53
  Swap 44 and -53
  List after swap: [-66, -31, 4, -53, 44, -37, 22, -99, -61, 87]
  Compare 44 and -37
  Swap 44 and -37
  List after swap: [-66, -31, 4, -53, -37, 44, 22, -99, -61, 87]
  Compare 44 and 22
  Swap 44 and 22
  List after swap: [-66, -31, 4, -53, -37, 22, 44, -99, -61, 87]
  Compare 44 and -99
  Swap 44 and -99
  List after swap: [-66, -31, 4, -53, -37, 22, -99, 44, -61, 87]
  Compare 44 and -61
  Swap 44 and -61
  List after swap: [-66, -31, 4, -53, -37, 22, -99, -61, 44, 87]

Pass 3:
  Compare -66 and -31
  No swap needed
  Compare -31 and 4
  No swap needed
  Compare 4 and -53
  Swap 4 and -53
  List after swap: [-66, -31, -53, 4, -37, 22, -99, -61, 44, 87]
  Compare 4 and -37
  Swap 4 and -37
  List after swap: [-66, -31, -53, -37, 4, 22, -99, -61, 44, 87]
  Compare 4 and 22
  No swap needed
  Compare 22 and -99
  Swap 22 and -99
  List after swap: [-66, -31, -53, -37, 4, -99, 22, -61, 44, 87]
  Compare 22 and -61
  Swap 22 and -61
  List after swap: [-66, -31, -53, -37, 4, -99, -61, 22, 44, 87]

Pass 4:
  Compare -66 and -31
  No swap needed
  Compare -31 and -53
  Swap -31 and -53
  List after swap: [-66, -53, -31, -37, 4, -99, -61, 22, 44, 87]
  Compare -31 and -37
  Swap -31 and -37
  List after swap: [-66, -53, -37, -31, 4, -99, -61, 22, 44, 87]
  Compare -31 and 4
  No swap needed
  Compare 4 and -99
  Swap 4 and -99
  List after swap: [-66, -53, -37, -31, -99, 4, -61, 22, 44, 87]
  Compare 4 and -61
  Swap 4 and -61
  List after swap: [-66, -53, -37, -31, -99, -61, 4, 22, 44, 87]

Pass 5:
  Compare -66 and -53
  No swap needed
  Compare -53 and -37
  No swap needed
  Compare -37 and -31
  No swap needed
  Compare -31 and -99
  Swap -31 and -99
  List after swap: [-66, -53, -37, -99, -31, -61, 4, 22, 44, 87]
  Compare -31 and -61
  Swap -31 and -61
  List after swap: [-66, -53, -37, -99, -61, -31, 4, 22, 44, 87]

Pass 6:
  Compare -66 and -53
  No swap needed
  Compare -53 and -37
  No swap needed
  Compare -37 and -99
  Swap -37 and -99
  List after swap: [-66, -53, -99, -37, -61, -31, 4, 22, 44, 87]
  Compare -37 and -61
  Swap -37 and -61
  List after swap: [-66, -53, -99, -61, -37, -31, 4, 22, 44, 87]

Pass 7:
  Compare -66 and -53
  No swap needed
  Compare -53 and -99
  Swap -53 and -99
  List after swap: [-66, -99, -53, -61, -37, -31, 4, 22, 44, 87]
  Compare -53 and -61
  Swap -53 and -61
  List after swap: [-66, -99, -61, -53, -37, -31, 4, 22, 44, 87]

Pass 8:
  Compare -66 and -99
  Swap -66 and -99
  List after swap: [-99, -66, -61, -53, -37, -31, 4, 22, 44, 87]
  Compare -66 and -61
  No swap needed

Pass 9:
  Compare -99 and -66
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -66, -61, -53, -37, -31, 4, 22, 44, 87]
</think>

<response>-99, -66, -61, -53, -37, -31, 4, 22, 44, 87</response>


input: Demonstrate how bubble sort orders the integers 11, -68, -49, -29, 51, 21, -37, -69 in ascending sequence, showing all steps.

output:
<think>
Initial list: [11, -68, -49, -29, 51, 21, -37, -69]

Pass 1:
  Compare 11 and -68
  Swap 11 and -68
  List after swap: [-68, 11, -49, -29, 51, 21, -37, -69]
  Compare 11 and -49
  Swap 11 and -49
  List after swap: [-68, -49, 11, -29, 51, 21, -37, -69]
  Compare 11 and -29
  Swap 11 and -29
  List after swap: [-68, -49, -29, 11, 51, 21, -37, -69]
  Compare 11 and 51
  No swap needed
  Compare 51 and 21
  Swap 51 and 21
  List after swap: [-68, -49, -29, 11, 21, 51, -37, -69]
  Compare 51 and -37
  Swap 51 and -37
  List after swap: [-68, -49, -29, 11, 21, -37, 51, -69]
  Compare 51 and -69
  Swap 51 and -69
  List after swap: [-68, -49, -29, 11, 21, -37, -69, 51]

Pass 2:
  Compare -68 and -49
  No swap needed
  Compare -49 and -29
  No swap needed
  Compare -29 and 11
  No swap needed
  Compare 11 and 21
  No swap needed
  Compare 21 and -37
  Swap 21 and -37
  List after swap: [-68, -49, -29, 11, -37, 21, -69, 51]
  Compare 21 and -69
  Swap 21 and -69
  List after swap: [-68, -49, -29, 11, -37, -69, 21, 51]

Pass 3:
  Compare -68 and -49
  No swap needed
  Compare -49 and -29
  No swap needed
  Compare -29 and 11
  No swap needed
  Compare 11 and -37
  Swap 11 and -37
  List after swap: [-68, -49, -29, -37, 11, -69, 21, 51]
  Compare 11 and -69
  Swap 11 and -69
  List after swap: [-68, -49, -29, -37, -69, 11, 21, 51]

Pass 4:
  Compare -68 and -49
  No swap needed
  Compare -49 and -29
  No swap needed
  Compare -29 and -37
  Swap -29 and -37
  List after swap: [-68, -49, -37, -29, -69, 11, 21, 51]
  Compare -29 and -69
  Swap -29 and -69
  List after swap: [-68, -49, -37, -69, -29, 11, 21, 51]

Pass 5:
  Compare -68 and -49
  No swap needed
  Compare -49 and -37
  No swap needed
  Compare -37 and -69
  Swap -37 and -69
  List after swap: [-68, -49, -69, -37, -29, 11, 21, 51]

Pass 6:
  Compare -68 and -49
  No swap needed
  Compare -49 and -69
  Swap -49 and -69
  List after swap: [-68, -69, -49, -37, -29, 11, 21, 51]

Pass 7:
  Compare -68 and -69
  Swap -68 and -69
  List after swap: [-69, -68, -49, -37, -29, 11, 21, 51]

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

Final sorted list: [-69, -68, -49, -37, -29, 11, 21, 51]
</think>

<response>-69, -68, -49, -37, -29, 11, 21, 51</response>


input: Arrange the numbers -49, -6, 99, 77, 61, 58, -62, 28, 18, -14 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-49, -6, 99, 77, 61, 58, -62, 28, 18, -14]

Pass 1:
  Compare -49 and -6
  No swap needed
  Compare -6 and 99
  No swap needed
  Compare 99 and 77
  Swap 99 and 77
  List after swap: [-49, -6, 77, 99, 61, 58, -62, 28, 18, -14]
  Compare 99 and 61
  Swap 99 and 61
  List after swap: [-49, -6, 77, 61, 99, 58, -62, 28, 18, -14]
  Compare 99 and 58
  Swap 99 and 58
  List after swap: [-49, -6, 77, 61, 58, 99, -62, 28, 18, -14]
  Compare 99 and -62
  Swap 99 and -62
  List after swap: [-49, -6, 77, 61, 58, -62, 99, 28, 18, -14]
  Compare 99 and 28
  Swap 99 and 28
  List after swap: [-49, -6, 77, 61, 58, -62, 28, 99, 18, -14]
  Compare 99 and 18
  Swap 99 and 18
  List after swap: [-49, -6, 77, 61, 58, -62, 28, 18, 99, -14]
  Compare 99 and -14
  Swap 99 and -14
  List after swap: [-49, -6, 77, 61, 58, -62, 28, 18, -14, 99]

Pass 2:
  Compare -49 and -6
  No swap needed
  Compare -6 and 77
  No swap needed
  Compare 77 and 61
  Swap 77 and 61
  List after swap: [-49, -6, 61, 77, 58, -62, 28, 18, -14, 99]
  Compare 77 and 58
  Swap 77 and 58
  List after swap: [-49, -6, 61, 58, 77, -62, 28, 18, -14, 99]
  Compare 77 and -62
  Swap 77 and -62
  List after swap: [-49, -6, 61, 58, -62, 77, 28, 18, -14, 99]
  Compare 77 and 28
  Swap 77 and 28
  List after swap: [-49, -6, 61, 58, -62, 28, 77, 18, -14, 99]
  Compare 77 and 18
  Swap 77 and 18
  List after swap: [-49, -6, 61, 58, -62, 28, 18, 77, -14, 99]
  Compare 77 and -14
  Swap 77 and -14
  List after swap: [-49, -6, 61, 58, -62, 28, 18, -14, 77, 99]

Pass 3:
  Compare -49 and -6
  No swap needed
  Compare -6 and 61
  No swap needed
  Compare 61 and 58
  Swap 61 and 58
  List after swap: [-49, -6, 58, 61, -62, 28, 18, -14, 77, 99]
  Compare 61 and -62
  Swap 61 and -62
  List after swap: [-49, -6, 58, -62, 61, 28, 18, -14, 77, 99]
  Compare 61 and 28
  Swap 61 and 28
  List after swap: [-49, -6, 58, -62, 28, 61, 18, -14, 77, 99]
  Compare 61 and 18
  Swap 61 and 18
  List after swap: [-49, -6, 58, -62, 28, 18, 61, -14, 77, 99]
  Compare 61 and -14
  Swap 61 and -14
  List after swap: [-49, -6, 58, -62, 28, 18, -14, 61, 77, 99]

Pass 4:
  Compare -49 and -6
  No swap needed
  Compare -6 and 58
  No swap needed
  Compare 58 and -62
  Swap 58 and -62
  List after swap: [-49, -6, -62, 58, 28, 18, -14, 61, 77, 99]
  Compare 58 and 28
  Swap 58 and 28
  List after swap: [-49, -6, -62, 28, 58, 18, -14, 61, 77, 99]
  Compare 58 and 18
  Swap 58 and 18
  List after swap: [-49, -6, -62, 28, 18, 58, -14, 61, 77, 99]
  Compare 58 and -14
  Swap 58 and -14
  List after swap: [-49, -6, -62, 28, 18, -14, 58, 61, 77, 99]

Pass 5:
  Compare -49 and -6
  No swap needed
  Compare -6 and -62
  Swap -6 and -62
  List after swap: [-49, -62, -6, 28, 18, -14, 58, 61, 77, 99]
  Compare -6 and 28
  No swap needed
  Compare 28 and 18
  Swap 28 and 18
  List after swap: [-49, -62, -6, 18, 28, -14, 58, 61, 77, 99]
  Compare 28 and -14
  Swap 28 and -14
  List after swap: [-49, -62, -6, 18, -14, 28, 58, 61, 77, 99]

Pass 6:
  Compare -49 and -62
  Swap -49 and -62
  List after swap: [-62, -49, -6, 18, -14, 28, 58, 61, 77, 99]
  Compare -49 and -6
  No swap needed
  Compare -6 and 18
  No swap needed
  Compare 18 and -14
  Swap 18 and -14
  List after swap: [-62, -49, -6, -14, 18, 28, 58, 61, 77, 99]

Pass 7:
  Compare -62 and -49
  No swap needed
  Compare -49 and -6
  No swap needed
  Compare -6 and -14
  Swap -6 and -14
  List after swap: [-62, -49, -14, -6, 18, 28, 58, 61, 77, 99]

Pass 8:
  Compare -62 and -49
  No swap needed
  Compare -49 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-62, -49, -14, -6, 18, 28, 58, 61, 77, 99]
</think>

<response>-62, -49, -14, -6, 18, 28, 58, 61, 77, 99</response>


input: Demonstrate how bubble sort orders the integers -37, 70, 75, -52, 60, -2, 30, 2, -29, -58 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-37, 70, 75, -52, 60, -2, 30, 2, -29, -58]

Pass 1:
  Compare -37 and 70
  No swap needed
  Compare 70 and 75
  No swap needed
  Compare 75 and -52
  Swap 75 and -52
  List after swap: [-37, 70, -52, 75, 60, -2, 30, 2, -29, -58]
  Compare 75 and 60
  Swap 75 and 60
  List after swap: [-37, 70, -52, 60, 75, -2, 30, 2, -29, -58]
  Compare 75 and -2
  Swap 75 and -2
  List after swap: [-37, 70, -52, 60, -2, 75, 30, 2, -29, -58]
  Compare 75 and 30
  Swap 75 and 30
  List after swap: [-37, 70, -52, 60, -2, 30, 75, 2, -29, -58]
  Compare 75 and 2
  Swap 75 and 2
  List after swap: [-37, 70, -52, 60, -2, 30, 2, 75, -29, -58]
  Compare 75 and -29
  Swap 75 and -29
  List after swap: [-37, 70, -52, 60, -2, 30, 2, -29, 75, -58]
  Compare 75 and -58
  Swap 75 and -58
  List after swap: [-37, 70, -52, 60, -2, 30, 2, -29, -58, 75]

Pass 2:
  Compare -37 and 70
  No swap needed
  Compare 70 and -52
  Swap 70 and -52
  List after swap: [-37, -52, 70, 60, -2, 30, 2, -29, -58, 75]
  Compare 70 and 60
  Swap 70 and 60
  List after swap: [-37, -52, 60, 70, -2, 30, 2, -29, -58, 75]
  Compare 70 and -2
  Swap 70 and -2
  List after swap: [-37, -52, 60, -2, 70, 30, 2, -29, -58, 75]
  Compare 70 and 30
  Swap 70 and 30
  List after swap: [-37, -52, 60, -2, 30, 70, 2, -29, -58, 75]
  Compare 70 and 2
  Swap 70 and 2
  List after swap: [-37, -52, 60, -2, 30, 2, 70, -29, -58, 75]
  Compare 70 and -29
  Swap 70 and -29
  List after swap: [-37, -52, 60, -2, 30, 2, -29, 70, -58, 75]
  Compare 70 and -58
  Swap 70 and -58
  List after swap: [-37, -52, 60, -2, 30, 2, -29, -58, 70, 75]

Pass 3:
  Compare -37 and -52
  Swap -37 and -52
  List after swap: [-52, -37, 60, -2, 30, 2, -29, -58, 70, 75]
  Compare -37 and 60
  No swap needed
  Compare 60 and -2
  Swap 60 and -2
  List after swap: [-52, -37, -2, 60, 30, 2, -29, -58, 70, 75]
  Compare 60 and 30
  Swap 60 and 30
  List after swap: [-52, -37, -2, 30, 60, 2, -29, -58, 70, 75]
  Compare 60 and 2
  Swap 60 and 2
  List after swap: [-52, -37, -2, 30, 2, 60, -29, -58, 70, 75]
  Compare 60 and -29
  Swap 60 and -29
  List after swap: [-52, -37, -2, 30, 2, -29, 60, -58, 70, 75]
  Compare 60 and -58
  Swap 60 and -58
  List after swap: [-52, -37, -2, 30, 2, -29, -58, 60, 70, 75]

Pass 4:
  Compare -52 and -37
  No swap needed
  Compare -37 and -2
  No swap needed
  Compare -2 and 30
  No swap needed
  Compare 30 and 2
  Swap 30 and 2
  List after swap: [-52, -37, -2, 2, 30, -29, -58, 60, 70, 75]
  Compare 30 and -29
  Swap 30 and -29
  List after swap: [-52, -37, -2, 2, -29, 30, -58, 60, 70, 75]
  Compare 30 and -58
  Swap 30 and -58
  List after swap: [-52, -37, -2, 2, -29, -58, 30, 60, 70, 75]

Pass 5:
  Compare -52 and -37
  No swap needed
  Compare -37 and -2
  No swap needed
  Compare -2 and 2
  No swap needed
  Compare 2 and -29
  Swap 2 and -29
  List after swap: [-52, -37, -2, -29, 2, -58, 30, 60, 70, 75]
  Compare 2 and -58
  Swap 2 and -58
  List after swap: [-52, -37, -2, -29, -58, 2, 30, 60, 70, 75]

Pass 6:
  Compare -52 and -37
  No swap needed
  Compare -37 and -2
  No swap needed
  Compare -2 and -29
  Swap -2 and -29
  List after swap: [-52, -37, -29, -2, -58, 2, 30, 60, 70, 75]
  Compare -2 and -58
  Swap -2 and -58
  List after swap: [-52, -37, -29, -58, -2, 2, 30, 60, 70, 75]

Pass 7:
  Compare -52 and -37
  No swap needed
  Compare -37 and -29
  No swap needed
  Compare -29 and -58
  Swap -29 and -58
  List after swap: [-52, -37, -58, -29, -2, 2, 30, 60, 70, 75]

Pass 8:
  Compare -52 and -37
  No swap needed
  Compare -37 and -58
  Swap -37 and -58
  List after swap: [-52, -58, -37, -29, -2, 2, 30, 60, 70, 75]

Pass 9:
  Compare -52 and -58
  Swap -52 and -58
  List after swap: [-58, -52, -37, -29, -2, 2, 30, 60, 70, 75]

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

Final sorted list: [-58, -52, -37, -29, -2, 2, 30, 60, 70, 75]
</think>

<response>-58, -52, -37, -29, -2, 2, 30, 60, 70, 75</response>


input: Demonstrate how bubble sort orders the integers -48, -45, 64, 42, 0, 31, -65, -31 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-48, -45, 64, 42, 0, 31, -65, -31]

Pass 1:
  Compare -48 and -45
  No swap needed
  Compare -45 and 64
  No swap needed
  Compare 64 and 42
  Swap 64 and 42
  List after swap: [-48, -45, 42, 64, 0, 31, -65, -31]
  Compare 64 and 0
  Swap 64 and 0
  List after swap: [-48, -45, 42, 0, 64, 31, -65, -31]
  Compare 64 and 31
  Swap 64 and 31
  List after swap: [-48, -45, 42, 0, 31, 64, -65, -31]
  Compare 64 and -65
  Swap 64 and -65
  List after swap: [-48, -45, 42, 0, 31, -65, 64, -31]
  Compare 64 and -31
  Swap 64 and -31
  List after swap: [-48, -45, 42, 0, 31, -65, -31, 64]

Pass 2:
  Compare -48 and -45
  No swap needed
  Compare -45 and 42
  No swap needed
  Compare 42 and 0
  Swap 42 and 0
  List after swap: [-48, -45, 0, 42, 31, -65, -31, 64]
  Compare 42 and 31
  Swap 42 and 31
  List after swap: [-48, -45, 0, 31, 42, -65, -31, 64]
  Compare 42 and -65
  Swap 42 and -65
  List after swap: [-48, -45, 0, 31, -65, 42, -31, 64]
  Compare 42 and -31
  Swap 42 and -31
  List after swap: [-48, -45, 0, 31, -65, -31, 42, 64]

Pass 3:
  Compare -48 and -45
  No swap needed
  Compare -45 and 0
  No swap needed
  Compare 0 and 31
  No swap needed
  Compare 31 and -65
  Swap 31 and -65
  List after swap: [-48, -45, 0, -65, 31, -31, 42, 64]
  Compare 31 and -31
  Swap 31 and -31
  List after swap: [-48, -45, 0, -65, -31, 31, 42, 64]

Pass 4:
  Compare -48 and -45
  No swap needed
  Compare -45 and 0
  No swap needed
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-48, -45, -65, 0, -31, 31, 42, 64]
  Compare 0 and -31
  Swap 0 and -31
  List after swap: [-48, -45, -65, -31, 0, 31, 42, 64]

Pass 5:
  Compare -48 and -45
  No swap needed
  Compare -45 and -65
  Swap -45 and -65
  List after swap: [-48, -65, -45, -31, 0, 31, 42, 64]
  Compare -45 and -31
  No swap needed

Pass 6:
  Compare -48 and -65
  Swap -48 and -65
  List after swap: [-65, -48, -45, -31, 0, 31, 42, 64]
  Compare -48 and -45
  No swap needed

Pass 7:
  Compare -65 and -48
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -48, -45, -31, 0, 31, 42, 64]
</think>

<response>-65, -48, -45, -31, 0, 31, 42, 64</response>


input: Execute bubble sort to sort -84, -63, 18 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-84, -63, 18]

Pass 1:
  Compare -84 and -63
  No swap needed
  Compare -63 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -63, 18]
</think>

<response>-84, -63, 18</response>


input: Execute bubble sort to sort 51, 9, -60, -74, -22, 8 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [51, 9, -60, -74, -22, 8]

Pass 1:
  Compare 51 and 9
  Swap 51 and 9
  List after swap: [9, 51, -60, -74, -22, 8]
  Compare 51 and -60
  Swap 51 and -60
  List after swap: [9, -60, 51, -74, -22, 8]
  Compare 51 and -74
  Swap 51 and -74
  List after swap: [9, -60, -74, 51, -22, 8]
  Compare 51 and -22
  Swap 51 and -22
  List after swap: [9, -60, -74, -22, 51, 8]
  Compare 51 and 8
  Swap 51 and 8
  List after swap: [9, -60, -74, -22, 8, 51]

Pass 2:
  Compare 9 and -60
  Swap 9 and -60
  List after swap: [-60, 9, -74, -22, 8, 51]
  Compare 9 and -74
  Swap 9 and -74
  List after swap: [-60, -74, 9, -22, 8, 51]
  Compare 9 and -22
  Swap 9 and -22
  List after swap: [-60, -74, -22, 9, 8, 51]
  Compare 9 and 8
  Swap 9 and 8
  List after swap: [-60, -74, -22, 8, 9, 51]

Pass 3:
  Compare -60 and -74
  Swap -60 and -74
  List after swap: [-74, -60, -22, 8, 9, 51]
  Compare -60 and -22
  No swap needed
  Compare -22 and 8
  No swap needed

Pass 4:
  Compare -74 and -60
  No swap needed
  Compare -60 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -60, -22, 8, 9, 51]
</think>

<response>-74, -60, -22, 8, 9, 51</response>


input: Sort the list -82, -12, 96, -49, 34, -71, -84, 50, 99 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-82, -12, 96, -49, 34, -71, -84, 50, 99]

Pass 1:
  Compare -82 and -12
  No swap needed
  Compare -12 and 96
  No swap needed
  Compare 96 and -49
  Swap 96 and -49
  List after swap: [-82, -12, -49, 96, 34, -71, -84, 50, 99]
  Compare 96 and 34
  Swap 96 and 34
  List after swap: [-82, -12, -49, 34, 96, -71, -84, 50, 99]
  Compare 96 and -71
  Swap 96 and -71
  List after swap: [-82, -12, -49, 34, -71, 96, -84, 50, 99]
  Compare 96 and -84
  Swap 96 and -84
  List after swap: [-82, -12, -49, 34, -71, -84, 96, 50, 99]
  Compare 96 and 50
  Swap 96 and 50
  List after swap: [-82, -12, -49, 34, -71, -84, 50, 96, 99]
  Compare 96 and 99
  No swap needed

Pass 2:
  Compare -82 and -12
  No swap needed
  Compare -12 and -49
  Swap -12 and -49
  List after swap: [-82, -49, -12, 34, -71, -84, 50, 96, 99]
  Compare -12 and 34
  No swap needed
  Compare 34 and -71
  Swap 34 and -71
  List after swap: [-82, -49, -12, -71, 34, -84, 50, 96, 99]
  Compare 34 and -84
  Swap 34 and -84
  List after swap: [-82, -49, -12, -71, -84, 34, 50, 96, 99]
  Compare 34 and 50
  No swap needed
  Compare 50 and 96
  No swap needed

Pass 3:
  Compare -82 and -49
  No swap needed
  Compare -49 and -12
  No swap needed
  Compare -12 and -71
  Swap -12 and -71
  List after swap: [-82, -49, -71, -12, -84, 34, 50, 96, 99]
  Compare -12 and -84
  Swap -12 and -84
  List after swap: [-82, -49, -71, -84, -12, 34, 50, 96, 99]
  Compare -12 and 34
  No swap needed
  Compare 34 and 50
  No swap needed

Pass 4:
  Compare -82 and -49
  No swap needed
  Compare -49 and -71
  Swap -49 and -71
  List after swap: [-82, -71, -49, -84, -12, 34, 50, 96, 99]
  Compare -49 and -84
  Swap -49 and -84
  List after swap: [-82, -71, -84, -49, -12, 34, 50, 96, 99]
  Compare -49 and -12
  No swap needed
  Compare -12 and 34
  No swap needed

Pass 5:
  Compare -82 and -71
  No swap needed
  Compare -71 and -84
  Swap -71 and -84
  List after swap: [-82, -84, -71, -49, -12, 34, 50, 96, 99]
  Compare -71 and -49
  No swap needed
  Compare -49 and -12
  No swap needed

Pass 6:
  Compare -82 and -84
  Swap -82 and -84
  List after swap: [-84, -82, -71, -49, -12, 34, 50, 96, 99]
  Compare -82 and -71
  No swap needed
  Compare -71 and -49
  No swap needed

Pass 7:
  Compare -84 and -82
  No swap needed
  Compare -82 and -71
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, -82, -71, -49, -12, 34, 50, 96, 99]
</think>

<response>-84, -82, -71, -49, -12, 34, 50, 96, 99</response>


input: Carry out the bubble sort algorithm on 29, 38, 79, 42, -63, 18 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [29, 38, 79, 42, -63, 18]

Pass 1:
  Compare 29 and 38
  No swap needed
  Compare 38 and 79
  No swap needed
  Compare 79 and 42
  Swap 79 and 42
  List after swap: [29, 38, 42, 79, -63, 18]
  Compare 79 and -63
  Swap 79 and -63
  List after swap: [29, 38, 42, -63, 79, 18]
  Compare 79 and 18
  Swap 79 and 18
  List after swap: [29, 38, 42, -63, 18, 79]

Pass 2:
  Compare 29 and 38
  No swap needed
  Compare 38 and 42
  No swap needed
  Compare 42 and -63
  Swap 42 and -63
  List after swap: [29, 38, -63, 42, 18, 79]
  Compare 42 and 18
  Swap 42 and 18
  List after swap: [29, 38, -63, 18, 42, 79]

Pass 3:
  Compare 29 and 38
  No swap needed
  Compare 38 and -63
  Swap 38 and -63
  List after swap: [29, -63, 38, 18, 42, 79]
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [29, -63, 18, 38, 42, 79]

Pass 4:
  Compare 29 and -63
  Swap 29 and -63
  List after swap: [-63, 29, 18, 38, 42, 79]
  Compare 29 and 18
  Swap 29 and 18
  List after swap: [-63, 18, 29, 38, 42, 79]

Pass 5:
  Compare -63 and 18
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-63, 18, 29, 38, 42, 79]
</think>

<response>-63, 18, 29, 38, 42, 79</response>


input: Carry out the bubble sort algorithm on 92, -64 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [92, -64]

Pass 1:
  Compare 92 and -64
  Swap 92 and -64
  List after swap: [-64, 92]

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

Final sorted list: [-64, 92]
</think>

<response>-64, 92</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 13, 64.

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

Pass 1:
  Compare 13 and 64
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>13, 64</response>


input: Arrange the numbers -64, 45, -96, 54, 10, -48, -72 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-64, 45, -96, 54, 10, -48, -72]

Pass 1:
  Compare -64 and 45
  No swap needed
  Compare 45 and -96
  Swap 45 and -96
  List after swap: [-64, -96, 45, 54, 10, -48, -72]
  Compare 45 and 54
  No swap needed
  Compare 54 and 10
  Swap 54 and 10
  List after swap: [-64, -96, 45, 10, 54, -48, -72]
  Compare 54 and -48
  Swap 54 and -48
  List after swap: [-64, -96, 45, 10, -48, 54, -72]
  Compare 54 and -72
  Swap 54 and -72
  List after swap: [-64, -96, 45, 10, -48, -72, 54]

Pass 2:
  Compare -64 and -96
  Swap -64 and -96
  List after swap: [-96, -64, 45, 10, -48, -72, 54]
  Compare -64 and 45
  No swap needed
  Compare 45 and 10
  Swap 45 and 10
  List after swap: [-96, -64, 10, 45, -48, -72, 54]
  Compare 45 and -48
  Swap 45 and -48
  List after swap: [-96, -64, 10, -48, 45, -72, 54]
  Compare 45 and -72
  Swap 45 and -72
  List after swap: [-96, -64, 10, -48, -72, 45, 54]

Pass 3:
  Compare -96 and -64
  No swap needed
  Compare -64 and 10
  No swap needed
  Compare 10 and -48
  Swap 10 and -48
  List after swap: [-96, -64, -48, 10, -72, 45, 54]
  Compare 10 and -72
  Swap 10 and -72
  List after swap: [-96, -64, -48, -72, 10, 45, 54]

Pass 4:
  Compare -96 and -64
  No swap needed
  Compare -64 and -48
  No swap needed
  Compare -48 and -72
  Swap -48 and -72
  List after swap: [-96, -64, -72, -48, 10, 45, 54]

Pass 5:
  Compare -96 and -64
  No swap needed
  Compare -64 and -72
  Swap -64 and -72
  List after swap: [-96, -72, -64, -48, 10, 45, 54]

Pass 6:
  Compare -96 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -72, -64, -48, 10, 45, 54]
</think>

<response>-96, -72, -64, -48, 10, 45, 54</response>


input: Carry out the bubble sort algorithm on 1, 97, 60, 11, -92, 40, 79 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [1, 97, 60, 11, -92, 40, 79]

Pass 1:
  Compare 1 and 97
  No swap needed
  Compare 97 and 60
  Swap 97 and 60
  List after swap: [1, 60, 97, 11, -92, 40, 79]
  Compare 97 and 11
  Swap 97 and 11
  List after swap: [1, 60, 11, 97, -92, 40, 79]
  Compare 97 and -92
  Swap 97 and -92
  List after swap: [1, 60, 11, -92, 97, 40, 79]
  Compare 97 and 40
  Swap 97 and 40
  List after swap: [1, 60, 11, -92, 40, 97, 79]
  Compare 97 and 79
  Swap 97 and 79
  List after swap: [1, 60, 11, -92, 40, 79, 97]

Pass 2:
  Compare 1 and 60
  No swap needed
  Compare 60 and 11
  Swap 60 and 11
  List after swap: [1, 11, 60, -92, 40, 79, 97]
  Compare 60 and -92
  Swap 60 and -92
  List after swap: [1, 11, -92, 60, 40, 79, 97]
  Compare 60 and 40
  Swap 60 and 40
  List after swap: [1, 11, -92, 40, 60, 79, 97]
  Compare 60 and 79
  No swap needed

Pass 3:
  Compare 1 and 11
  No swap needed
  Compare 11 and -92
  Swap 11 and -92
  List after swap: [1, -92, 11, 40, 60, 79, 97]
  Compare 11 and 40
  No swap needed
  Compare 40 and 60
  No swap needed

Pass 4:
  Compare 1 and -92
  Swap 1 and -92
  List after swap: [-92, 1, 11, 40, 60, 79, 97]
  Compare 1 and 11
  No swap needed
  Compare 11 and 40
  No swap needed

Pass 5:
  Compare -92 and 1
  No swap needed
  Compare 1 and 11
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, 1, 11, 40, 60, 79, 97]
</think>

<response>-92, 1, 11, 40, 60, 79, 97</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 76, -7, 31, -14, 55, 37, 20.

output:
<think>
Initial list: [76, -7, 31, -14, 55, 37, 20]

Pass 1:
  Compare 76 and -7
  Swap 76 and -7
  List after swap: [-7, 76, 31, -14, 55, 37, 20]
  Compare 76 and 31
  Swap 76 and 31
  List after swap: [-7, 31, 76, -14, 55, 37, 20]
  Compare 76 and -14
  Swap 76 and -14
  List after swap: [-7, 31, -14, 76, 55, 37, 20]
  Compare 76 and 55
  Swap 76 and 55
  List after swap: [-7, 31, -14, 55, 76, 37, 20]
  Compare 76 and 37
  Swap 76 and 37
  List after swap: [-7, 31, -14, 55, 37, 76, 20]
  Compare 76 and 20
  Swap 76 and 20
  List after swap: [-7, 31, -14, 55, 37, 20, 76]

Pass 2:
  Compare -7 and 31
  No swap needed
  Compare 31 and -14
  Swap 31 and -14
  List after swap: [-7, -14, 31, 55, 37, 20, 76]
  Compare 31 and 55
  No swap needed
  Compare 55 and 37
  Swap 55 and 37
  List after swap: [-7, -14, 31, 37, 55, 20, 76]
  Compare 55 and 20
  Swap 55 and 20
  List after swap: [-7, -14, 31, 37, 20, 55, 76]

Pass 3:
  Compare -7 and -14
  Swap -7 and -14
  List after swap: [-14, -7, 31, 37, 20, 55, 76]
  Compare -7 and 31
  No swap needed
  Compare 31 and 37
  No swap needed
  Compare 37 and 20
  Swap 37 and 20
  List after swap: [-14, -7, 31, 20, 37, 55, 76]

Pass 4:
  Compare -14 and -7
  No swap needed
  Compare -7 and 31
  No swap needed
  Compare 31 and 20
  Swap 31 and 20
  List after swap: [-14, -7, 20, 31, 37, 55, 76]

Pass 5:
  Compare -14 and -7
  No swap needed
  Compare -7 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-14, -7, 20, 31, 37, 55, 76]
</think>

<response>-14, -7, 20, 31, 37, 55, 76</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 1, 12, 20.

output:
<think>
Initial list: [1, 12, 20]

Pass 1:
  Compare 1 and 12
  No swap needed
  Compare 12 and 20
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [1, 12, 20]
</think>

<response>1, 12, 20</response>


input: Arrange the numbers -91, -27, -23, -73, 99, -60 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-91, -27, -23, -73, 99, -60]

Pass 1:
  Compare -91 and -27
  No swap needed
  Compare -27 and -23
  No swap needed
  Compare -23 and -73
  Swap -23 and -73
  List after swap: [-91, -27, -73, -23, 99, -60]
  Compare -23 and 99
  No swap needed
  Compare 99 and -60
  Swap 99 and -60
  List after swap: [-91, -27, -73, -23, -60, 99]

Pass 2:
  Compare -91 and -27
  No swap needed
  Compare -27 and -73
  Swap -27 and -73
  List after swap: [-91, -73, -27, -23, -60, 99]
  Compare -27 and -23
  No swap needed
  Compare -23 and -60
  Swap -23 and -60
  List after swap: [-91, -73, -27, -60, -23, 99]

Pass 3:
  Compare -91 and -73
  No swap needed
  Compare -73 and -27
  No swap needed
  Compare -27 and -60
  Swap -27 and -60
  List after swap: [-91, -73, -60, -27, -23, 99]

Pass 4:
  Compare -91 and -73
  No swap needed
  Compare -73 and -60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -73, -60, -27, -23, 99]
</think>

<response>-91, -73, -60, -27, -23, 99</response>


input: Carry out the bubble sort algorithm on -34, 43, 74 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-34, 43, 74]

Pass 1:
  Compare -34 and 43
  No swap needed
  Compare 43 and 74
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-34, 43, 74]
</think>

<response>-34, 43, 74</response>


input: Perform a bubble sort on the integers -53, -54, 52, -82, 5, -48, -98, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-53, -54, 52, -82, 5, -48, -98]

Pass 1:
  Compare -53 and -54
  Swap -53 and -54
  List after swap: [-54, -53, 52, -82, 5, -48, -98]
  Compare -53 and 52
  No swap needed
  Compare 52 and -82
  Swap 52 and -82
  List after swap: [-54, -53, -82, 52, 5, -48, -98]
  Compare 52 and 5
  Swap 52 and 5
  List after swap: [-54, -53, -82, 5, 52, -48, -98]
  Compare 52 and -48
  Swap 52 and -48
  List after swap: [-54, -53, -82, 5, -48, 52, -98]
  Compare 52 and -98
  Swap 52 and -98
  List after swap: [-54, -53, -82, 5, -48, -98, 52]

Pass 2:
  Compare -54 and -53
  No swap needed
  Compare -53 and -82
  Swap -53 and -82
  List after swap: [-54, -82, -53, 5, -48, -98, 52]
  Compare -53 and 5
  No swap needed
  Compare 5 and -48
  Swap 5 and -48
  List after swap: [-54, -82, -53, -48, 5, -98, 52]
  Compare 5 and -98
  Swap 5 and -98
  List after swap: [-54, -82, -53, -48, -98, 5, 52]

Pass 3:
  Compare -54 and -82
  Swap -54 and -82
  List after swap: [-82, -54, -53, -48, -98, 5, 52]
  Compare -54 and -53
  No swap needed
  Compare -53 and -48
  No swap needed
  Compare -48 and -98
  Swap -48 and -98
  List after swap: [-82, -54, -53, -98, -48, 5, 52]

Pass 4:
  Compare -82 and -54
  No swap needed
  Compare -54 and -53
  No swap needed
  Compare -53 and -98
  Swap -53 and -98
  List after swap: [-82, -54, -98, -53, -48, 5, 52]

Pass 5:
  Compare -82 and -54
  No swap needed
  Compare -54 and -98
  Swap -54 and -98
  List after swap: [-82, -98, -54, -53, -48, 5, 52]

Pass 6:
  Compare -82 and -98
  Swap -82 and -98
  List after swap: [-98, -82, -54, -53, -48, 5, 52]

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

Final sorted list: [-98, -82, -54, -53, -48, 5, 52]
</think>

<response>-98, -82, -54, -53, -48, 5, 52</response>


input: Carry out the bubble sort algorithm on -79, 73, 90, 21, -41 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-79, 73, 90, 21, -41]

Pass 1:
  Compare -79 and 73
  No swap needed
  Compare 73 and 90
  No swap needed
  Compare 90 and 21
  Swap 90 and 21
  List after swap: [-79, 73, 21, 90, -41]
  Compare 90 and -41
  Swap 90 and -41
  List after swap: [-79, 73, 21, -41, 90]

Pass 2:
  Compare -79 and 73
  No swap needed
  Compare 73 and 21
  Swap 73 and 21
  List after swap: [-79, 21, 73, -41, 90]
  Compare 73 and -41
  Swap 73 and -41
  List after swap: [-79, 21, -41, 73, 90]

Pass 3:
  Compare -79 and 21
  No swap needed
  Compare 21 and -41
  Swap 21 and -41
  List after swap: [-79, -41, 21, 73, 90]

Pass 4:
  Compare -79 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -41, 21, 73, 90]
</think>

<response>-79, -41, 21, 73, 90</response>


input: Sort these integers -42, -83, -26, -98, -20, 24, -63, 81, -72 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-42, -83, -26, -98, -20, 24, -63, 81, -72]

Pass 1:
  Compare -42 and -83
  Swap -42 and -83
  List after swap: [-83, -42, -26, -98, -20, 24, -63, 81, -72]
  Compare -42 and -26
  No swap needed
  Compare -26 and -98
  Swap -26 and -98
  List after swap: [-83, -42, -98, -26, -20, 24, -63, 81, -72]
  Compare -26 and -20
  No swap needed
  Compare -20 and 24
  No swap needed
  Compare 24 and -63
  Swap 24 and -63
  List after swap: [-83, -42, -98, -26, -20, -63, 24, 81, -72]
  Compare 24 and 81
  No swap needed
  Compare 81 and -72
  Swap 81 and -72
  List after swap: [-83, -42, -98, -26, -20, -63, 24, -72, 81]

Pass 2:
  Compare -83 and -42
  No swap needed
  Compare -42 and -98
  Swap -42 and -98
  List after swap: [-83, -98, -42, -26, -20, -63, 24, -72, 81]
  Compare -42 and -26
  No swap needed
  Compare -26 and -20
  No swap needed
  Compare -20 and -63
  Swap -20 and -63
  List after swap: [-83, -98, -42, -26, -63, -20, 24, -72, 81]
  Compare -20 and 24
  No swap needed
  Compare 24 and -72
  Swap 24 and -72
  List after swap: [-83, -98, -42, -26, -63, -20, -72, 24, 81]

Pass 3:
  Compare -83 and -98
  Swap -83 and -98
  List after swap: [-98, -83, -42, -26, -63, -20, -72, 24, 81]
  Compare -83 and -42
  No swap needed
  Compare -42 and -26
  No swap needed
  Compare -26 and -63
  Swap -26 and -63
  List after swap: [-98, -83, -42, -63, -26, -20, -72, 24, 81]
  Compare -26 and -20
  No swap needed
  Compare -20 and -72
  Swap -20 and -72
  List after swap: [-98, -83, -42, -63, -26, -72, -20, 24, 81]

Pass 4:
  Compare -98 and -83
  No swap needed
  Compare -83 and -42
  No swap needed
  Compare -42 and -63
  Swap -42 and -63
  List after swap: [-98, -83, -63, -42, -26, -72, -20, 24, 81]
  Compare -42 and -26
  No swap needed
  Compare -26 and -72
  Swap -26 and -72
  List after swap: [-98, -83, -63, -42, -72, -26, -20, 24, 81]

Pass 5:
  Compare -98 and -83
  No swap needed
  Compare -83 and -63
  No swap needed
  Compare -63 and -42
  No swap needed
  Compare -42 and -72
  Swap -42 and -72
  List after swap: [-98, -83, -63, -72, -42, -26, -20, 24, 81]

Pass 6:
  Compare -98 and -83
  No swap needed
  Compare -83 and -63
  No swap needed
  Compare -63 and -72
  Swap -63 and -72
  List after swap: [-98, -83, -72, -63, -42, -26, -20, 24, 81]

Pass 7:
  Compare -98 and -83
  No swap needed
  Compare -83 and -72
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-98, -83, -72, -63, -42, -26, -20, 24, 81]
</think>

<response>-98, -83, -72, -63, -42, -26, -20, 24, 81</response>


input: Sort the list -34, 91, -99, 32, 8, -28, -3, 26 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-34, 91, -99, 32, 8, -28, -3, 26]

Pass 1:
  Compare -34 and 91
  No swap needed
  Compare 91 and -99
  Swap 91 and -99
  List after swap: [-34, -99, 91, 32, 8, -28, -3, 26]
  Compare 91 and 32
  Swap 91 and 32
  List after swap: [-34, -99, 32, 91, 8, -28, -3, 26]
  Compare 91 and 8
  Swap 91 and 8
  List after swap: [-34, -99, 32, 8, 91, -28, -3, 26]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [-34, -99, 32, 8, -28, 91, -3, 26]
  Compare 91 and -3
  Swap 91 and -3
  List after swap: [-34, -99, 32, 8, -28, -3, 91, 26]
  Compare 91 and 26
  Swap 91 and 26
  List after swap: [-34, -99, 32, 8, -28, -3, 26, 91]

Pass 2:
  Compare -34 and -99
  Swap -34 and -99
  List after swap: [-99, -34, 32, 8, -28, -3, 26, 91]
  Compare -34 and 32
  No swap needed
  Compare 32 and 8
  Swap 32 and 8
  List after swap: [-99, -34, 8, 32, -28, -3, 26, 91]
  Compare 32 and -28
  Swap 32 and -28
  List after swap: [-99, -34, 8, -28, 32, -3, 26, 91]
  Compare 32 and -3
  Swap 32 and -3
  List after swap: [-99, -34, 8, -28, -3, 32, 26, 91]
  Compare 32 and 26
  Swap 32 and 26
  List after swap: [-99, -34, 8, -28, -3, 26, 32, 91]

Pass 3:
  Compare -99 and -34
  No swap needed
  Compare -34 and 8
  No swap needed
  Compare 8 and -28
  Swap 8 and -28
  List after swap: [-99, -34, -28, 8, -3, 26, 32, 91]
  Compare 8 and -3
  Swap 8 and -3
  List after swap: [-99, -34, -28, -3, 8, 26, 32, 91]
  Compare 8 and 26
  No swap needed

Pass 4:
  Compare -99 and -34
  No swap needed
  Compare -34 and -28
  No swap needed
  Compare -28 and -3
  No swap needed
  Compare -3 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -34, -28, -3, 8, 26, 32, 91]
</think>

<response>-99, -34, -28, -3, 8, 26, 32, 91</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 29, 24, 62, -59, -33, -79, -73.

output:
<think>
Initial list: [29, 24, 62, -59, -33, -79, -73]

Pass 1:
  Compare 29 and 24
  Swap 29 and 24
  List after swap: [24, 29, 62, -59, -33, -79, -73]
  Compare 29 and 62
  No swap needed
  Compare 62 and -59
  Swap 62 and -59
  List after swap: [24, 29, -59, 62, -33, -79, -73]
  Compare 62 and -33
  Swap 62 and -33
  List after swap: [24, 29, -59, -33, 62, -79, -73]
  Compare 62 and -79
  Swap 62 and -79
  List after swap: [24, 29, -59, -33, -79, 62, -73]
  Compare 62 and -73
  Swap 62 and -73
  List after swap: [24, 29, -59, -33, -79, -73, 62]

Pass 2:
  Compare 24 and 29
  No swap needed
  Compare 29 and -59
  Swap 29 and -59
  List after swap: [24, -59, 29, -33, -79, -73, 62]
  Compare 29 and -33
  Swap 29 and -33
  List after swap: [24, -59, -33, 29, -79, -73, 62]
  Compare 29 and -79
  Swap 29 and -79
  List after swap: [24, -59, -33, -79, 29, -73, 62]
  Compare 29 and -73
  Swap 29 and -73
  List after swap: [24, -59, -33, -79, -73, 29, 62]

Pass 3:
  Compare 24 and -59
  Swap 24 and -59
  List after swap: [-59, 24, -33, -79, -73, 29, 62]
  Compare 24 and -33
  Swap 24 and -33
  List after swap: [-59, -33, 24, -79, -73, 29, 62]
  Compare 24 and -79
  Swap 24 and -79
  List after swap: [-59, -33, -79, 24, -73, 29, 62]
  Compare 24 and -73
  Swap 24 and -73
  List after swap: [-59, -33, -79, -73, 24, 29, 62]

Pass 4:
  Compare -59 and -33
  No swap needed
  Compare -33 and -79
  Swap -33 and -79
  List after swap: [-59, -79, -33, -73, 24, 29, 62]
  Compare -33 and -73
  Swap -33 and -73
  List after swap: [-59, -79, -73, -33, 24, 29, 62]

Pass 5:
  Compare -59 and -79
  Swap -59 and -79
  List after swap: [-79, -59, -73, -33, 24, 29, 62]
  Compare -59 and -73
  Swap -59 and -73
  List after swap: [-79, -73, -59, -33, 24, 29, 62]

Pass 6:
  Compare -79 and -73
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-79, -73, -59, -33, 24, 29, 62]
</think>

<response>-79, -73, -59, -33, 24, 29, 62</response>


input: Sort the list -76, 9, 79, -32 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-76, 9, 79, -32]

Pass 1:
  Compare -76 and 9
  No swap needed
  Compare 9 and 79
  No swap needed
  Compare 79 and -32
  Swap 79 and -32
  List after swap: [-76, 9, -32, 79]

Pass 2:
  Compare -76 and 9
  No swap needed
  Compare 9 and -32
  Swap 9 and -32
  List after swap: [-76, -32, 9, 79]

Pass 3:
  Compare -76 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -32, 9, 79]
</think>

<response>-76, -32, 9, 79</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 76, -50, 99, 81.

output:
<think>
Initial list: [76, -50, 99, 81]

Pass 1:
  Compare 76 and -50
  Swap 76 and -50
  List after swap: [-50, 76, 99, 81]
  Compare 76 and 99
  No swap needed
  Compare 99 and 81
  Swap 99 and 81
  List after swap: [-50, 76, 81, 99]

Pass 2:
  Compare -50 and 76
  No swap needed
  Compare 76 and 81
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, 76, 81, 99]
</think>

<response>-50, 76, 81, 99</response>


input: Carry out the bubble sort algorithm on -73, -80, -22, -83 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-73, -80, -22, -83]

Pass 1:
  Compare -73 and -80
  Swap -73 and -80
  List after swap: [-80, -73, -22, -83]
  Compare -73 and -22
  No swap needed
  Compare -22 and -83
  Swap -22 and -83
  List after swap: [-80, -73, -83, -22]

Pass 2:
  Compare -80 and -73
  No swap needed
  Compare -73 and -83
  Swap -73 and -83
  List after swap: [-80, -83, -73, -22]

Pass 3:
  Compare -80 and -83
  Swap -80 and -83
  List after swap: [-83, -80, -73, -22]

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

Final sorted list: [-83, -80, -73, -22]
</think>

<response>-83, -80, -73, -22</response>


input: Perform a bubble sort on the integers -75, 25, -69, 51, 58, 32, 28, -73, 21, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-75, 25, -69, 51, 58, 32, 28, -73, 21]

Pass 1:
  Compare -75 and 25
  No swap needed
  Compare 25 and -69
  Swap 25 and -69
  List after swap: [-75, -69, 25, 51, 58, 32, 28, -73, 21]
  Compare 25 and 51
  No swap needed
  Compare 51 and 58
  No swap needed
  Compare 58 and 32
  Swap 58 and 32
  List after swap: [-75, -69, 25, 51, 32, 58, 28, -73, 21]
  Compare 58 and 28
  Swap 58 and 28
  List after swap: [-75, -69, 25, 51, 32, 28, 58, -73, 21]
  Compare 58 and -73
  Swap 58 and -73
  List after swap: [-75, -69, 25, 51, 32, 28, -73, 58, 21]
  Compare 58 and 21
  Swap 58 and 21
  List after swap: [-75, -69, 25, 51, 32, 28, -73, 21, 58]

Pass 2:
  Compare -75 and -69
  No swap needed
  Compare -69 and 25
  No swap needed
  Compare 25 and 51
  No swap needed
  Compare 51 and 32
  Swap 51 and 32
  List after swap: [-75, -69, 25, 32, 51, 28, -73, 21, 58]
  Compare 51 and 28
  Swap 51 and 28
  List after swap: [-75, -69, 25, 32, 28, 51, -73, 21, 58]
  Compare 51 and -73
  Swap 51 and -73
  List after swap: [-75, -69, 25, 32, 28, -73, 51, 21, 58]
  Compare 51 and 21
  Swap 51 and 21
  List after swap: [-75, -69, 25, 32, 28, -73, 21, 51, 58]

Pass 3:
  Compare -75 and -69
  No swap needed
  Compare -69 and 25
  No swap needed
  Compare 25 and 32
  No swap needed
  Compare 32 and 28
  Swap 32 and 28
  List after swap: [-75, -69, 25, 28, 32, -73, 21, 51, 58]
  Compare 32 and -73
  Swap 32 and -73
  List after swap: [-75, -69, 25, 28, -73, 32, 21, 51, 58]
  Compare 32 and 21
  Swap 32 and 21
  List after swap: [-75, -69, 25, 28, -73, 21, 32, 51, 58]

Pass 4:
  Compare -75 and -69
  No swap needed
  Compare -69 and 25
  No swap needed
  Compare 25 and 28
  No swap needed
  Compare 28 and -73
  Swap 28 and -73
  List after swap: [-75, -69, 25, -73, 28, 21, 32, 51, 58]
  Compare 28 and 21
  Swap 28 and 21
  List after swap: [-75, -69, 25, -73, 21, 28, 32, 51, 58]

Pass 5:
  Compare -75 and -69
  No swap needed
  Compare -69 and 25
  No swap needed
  Compare 25 and -73
  Swap 25 and -73
  List after swap: [-75, -69, -73, 25, 21, 28, 32, 51, 58]
  Compare 25 and 21
  Swap 25 and 21
  List after swap: [-75, -69, -73, 21, 25, 28, 32, 51, 58]

Pass 6:
  Compare -75 and -69
  No swap needed
  Compare -69 and -73
  Swap -69 and -73
  List after swap: [-75, -73, -69, 21, 25, 28, 32, 51, 58]
  Compare -69 and 21
  No swap needed

Pass 7:
  Compare -75 and -73
  No swap needed
  Compare -73 and -69
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-75, -73, -69, 21, 25, 28, 32, 51, 58]
</think>

<response>-75, -73, -69, 21, 25, 28, 32, 51, 58</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -88, 5, 90, -66, 7, 27, -27, -61, -22, 28.

output:
<think>
Initial list: [-88, 5, 90, -66, 7, 27, -27, -61, -22, 28]

Pass 1:
  Compare -88 and 5
  No swap needed
  Compare 5 and 90
  No swap needed
  Compare 90 and -66
  Swap 90 and -66
  List after swap: [-88, 5, -66, 90, 7, 27, -27, -61, -22, 28]
  Compare 90 and 7
  Swap 90 and 7
  List after swap: [-88, 5, -66, 7, 90, 27, -27, -61, -22, 28]
  Compare 90 and 27
  Swap 90 and 27
  List after swap: [-88, 5, -66, 7, 27, 90, -27, -61, -22, 28]
  Compare 90 and -27
  Swap 90 and -27
  List after swap: [-88, 5, -66, 7, 27, -27, 90, -61, -22, 28]
  Compare 90 and -61
  Swap 90 and -61
  List after swap: [-88, 5, -66, 7, 27, -27, -61, 90, -22, 28]
  Compare 90 and -22
  Swap 90 and -22
  List after swap: [-88, 5, -66, 7, 27, -27, -61, -22, 90, 28]
  Compare 90 and 28
  Swap 90 and 28
  List after swap: [-88, 5, -66, 7, 27, -27, -61, -22, 28, 90]

Pass 2:
  Compare -88 and 5
  No swap needed
  Compare 5 and -66
  Swap 5 and -66
  List after swap: [-88, -66, 5, 7, 27, -27, -61, -22, 28, 90]
  Compare 5 and 7
  No swap needed
  Compare 7 and 27
  No swap needed
  Compare 27 and -27
  Swap 27 and -27
  List after swap: [-88, -66, 5, 7, -27, 27, -61, -22, 28, 90]
  Compare 27 and -61
  Swap 27 and -61
  List after swap: [-88, -66, 5, 7, -27, -61, 27, -22, 28, 90]
  Compare 27 and -22
  Swap 27 and -22
  List after swap: [-88, -66, 5, 7, -27, -61, -22, 27, 28, 90]
  Compare 27 and 28
  No swap needed

Pass 3:
  Compare -88 and -66
  No swap needed
  Compare -66 and 5
  No swap needed
  Compare 5 and 7
  No swap needed
  Compare 7 and -27
  Swap 7 and -27
  List after swap: [-88, -66, 5, -27, 7, -61, -22, 27, 28, 90]
  Compare 7 and -61
  Swap 7 and -61
  List after swap: [-88, -66, 5, -27, -61, 7, -22, 27, 28, 90]
  Compare 7 and -22
  Swap 7 and -22
  List after swap: [-88, -66, 5, -27, -61, -22, 7, 27, 28, 90]
  Compare 7 and 27
  No swap needed

Pass 4:
  Compare -88 and -66
  No swap needed
  Compare -66 and 5
  No swap needed
  Compare 5 and -27
  Swap 5 and -27
  List after swap: [-88, -66, -27, 5, -61, -22, 7, 27, 28, 90]
  Compare 5 and -61
  Swap 5 and -61
  List after swap: [-88, -66, -27, -61, 5, -22, 7, 27, 28, 90]
  Compare 5 and -22
  Swap 5 and -22
  List after swap: [-88, -66, -27, -61, -22, 5, 7, 27, 28, 90]
  Compare 5 and 7
  No swap needed

Pass 5:
  Compare -88 and -66
  No swap needed
  Compare -66 and -27
  No swap needed
  Compare -27 and -61
  Swap -27 and -61
  List after swap: [-88, -66, -61, -27, -22, 5, 7, 27, 28, 90]
  Compare -27 and -22
  No swap needed
  Compare -22 and 5
  No swap needed

Pass 6:
  Compare -88 and -66
  No swap needed
  Compare -66 and -61
  No swap needed
  Compare -61 and -27
  No swap needed
  Compare -27 and -22
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -66, -61, -27, -22, 5, 7, 27, 28, 90]
</think>

<response>-88, -66, -61, -27, -22, 5, 7, 27, 28, 90</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 48, 68, 87, 46, -82, -32, -83, 21, -13.

output:
<think>
Initial list: [48, 68, 87, 46, -82, -32, -83, 21, -13]

Pass 1:
  Compare 48 and 68
  No swap needed
  Compare 68 and 87
  No swap needed
  Compare 87 and 46
  Swap 87 and 46
  List after swap: [48, 68, 46, 87, -82, -32, -83, 21, -13]
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [48, 68, 46, -82, 87, -32, -83, 21, -13]
  Compare 87 and -32
  Swap 87 and -32
  List after swap: [48, 68, 46, -82, -32, 87, -83, 21, -13]
  Compare 87 and -83
  Swap 87 and -83
  List after swap: [48, 68, 46, -82, -32, -83, 87, 21, -13]
  Compare 87 and 21
  Swap 87 and 21
  List after swap: [48, 68, 46, -82, -32, -83, 21, 87, -13]
  Compare 87 and -13
  Swap 87 and -13
  List after swap: [48, 68, 46, -82, -32, -83, 21, -13, 87]

Pass 2:
  Compare 48 and 68
  No swap needed
  Compare 68 and 46
  Swap 68 and 46
  List after swap: [48, 46, 68, -82, -32, -83, 21, -13, 87]
  Compare 68 and -82
  Swap 68 and -82
  List after swap: [48, 46, -82, 68, -32, -83, 21, -13, 87]
  Compare 68 and -32
  Swap 68 and -32
  List after swap: [48, 46, -82, -32, 68, -83, 21, -13, 87]
  Compare 68 and -83
  Swap 68 and -83
  List after swap: [48, 46, -82, -32, -83, 68, 21, -13, 87]
  Compare 68 and 21
  Swap 68 and 21
  List after swap: [48, 46, -82, -32, -83, 21, 68, -13, 87]
  Compare 68 and -13
  Swap 68 and -13
  List after swap: [48, 46, -82, -32, -83, 21, -13, 68, 87]

Pass 3:
  Compare 48 and 46
  Swap 48 and 46
  List after swap: [46, 48, -82, -32, -83, 21, -13, 68, 87]
  Compare 48 and -82
  Swap 48 and -82
  List after swap: [46, -82, 48, -32, -83, 21, -13, 68, 87]
  Compare 48 and -32
  Swap 48 and -32
  List after swap: [46, -82, -32, 48, -83, 21, -13, 68, 87]
  Compare 48 and -83
  Swap 48 and -83
  List after swap: [46, -82, -32, -83, 48, 21, -13, 68, 87]
  Compare 48 and 21
  Swap 48 and 21
  List after swap: [46, -82, -32, -83, 21, 48, -13, 68, 87]
  Compare 48 and -13
  Swap 48 and -13
  List after swap: [46, -82, -32, -83, 21, -13, 48, 68, 87]

Pass 4:
  Compare 46 and -82
  Swap 46 and -82
  List after swap: [-82, 46, -32, -83, 21, -13, 48, 68, 87]
  Compare 46 and -32
  Swap 46 and -32
  List after swap: [-82, -32, 46, -83, 21, -13, 48, 68, 87]
  Compare 46 and -83
  Swap 46 and -83
  List after swap: [-82, -32, -83, 46, 21, -13, 48, 68, 87]
  Compare 46 and 21
  Swap 46 and 21
  List after swap: [-82, -32, -83, 21, 46, -13, 48, 68, 87]
  Compare 46 and -13
  Swap 46 and -13
  List after swap: [-82, -32, -83, 21, -13, 46, 48, 68, 87]

Pass 5:
  Compare -82 and -32
  No swap needed
  Compare -32 and -83
  Swap -32 and -83
  List after swap: [-82, -83, -32, 21, -13, 46, 48, 68, 87]
  Compare -32 and 21
  No swap needed
  Compare 21 and -13
  Swap 21 and -13
  List after swap: [-82, -83, -32, -13, 21, 46, 48, 68, 87]

Pass 6:
  Compare -82 and -83
  Swap -82 and -83
  List after swap: [-83, -82, -32, -13, 21, 46, 48, 68, 87]
  Compare -82 and -32
  No swap needed
  Compare -32 and -13
  No swap needed

Pass 7:
  Compare -83 and -82
  No swap needed
  Compare -82 and -32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -82, -32, -13, 21, 46, 48, 68, 87]
</think>

<response>-83, -82, -32, -13, 21, 46, 48, 68, 87</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 37, -16, 80, -71, 28, -74, -54, 76, 4.

output:
<think>
Initial list: [37, -16, 80, -71, 28, -74, -54, 76, 4]

Pass 1:
  Compare 37 and -16
  Swap 37 and -16
  List after swap: [-16, 37, 80, -71, 28, -74, -54, 76, 4]
  Compare 37 and 80
  No swap needed
  Compare 80 and -71
  Swap 80 and -71
  List after swap: [-16, 37, -71, 80, 28, -74, -54, 76, 4]
  Compare 80 and 28
  Swap 80 and 28
  List after swap: [-16, 37, -71, 28, 80, -74, -54, 76, 4]
  Compare 80 and -74
  Swap 80 and -74
  List after swap: [-16, 37, -71, 28, -74, 80, -54, 76, 4]
  Compare 80 and -54
  Swap 80 and -54
  List after swap: [-16, 37, -71, 28, -74, -54, 80, 76, 4]
  Compare 80 and 76
  Swap 80 and 76
  List after swap: [-16, 37, -71, 28, -74, -54, 76, 80, 4]
  Compare 80 and 4
  Swap 80 and 4
  List after swap: [-16, 37, -71, 28, -74, -54, 76, 4, 80]

Pass 2:
  Compare -16 and 37
  No swap needed
  Compare 37 and -71
  Swap 37 and -71
  List after swap: [-16, -71, 37, 28, -74, -54, 76, 4, 80]
  Compare 37 and 28
  Swap 37 and 28
  List after swap: [-16, -71, 28, 37, -74, -54, 76, 4, 80]
  Compare 37 and -74
  Swap 37 and -74
  List after swap: [-16, -71, 28, -74, 37, -54, 76, 4, 80]
  Compare 37 and -54
  Swap 37 and -54
  List after swap: [-16, -71, 28, -74, -54, 37, 76, 4, 80]
  Compare 37 and 76
  No swap needed
  Compare 76 and 4
  Swap 76 and 4
  List after swap: [-16, -71, 28, -74, -54, 37, 4, 76, 80]

Pass 3:
  Compare -16 and -71
  Swap -16 and -71
  List after swap: [-71, -16, 28, -74, -54, 37, 4, 76, 80]
  Compare -16 and 28
  No swap needed
  Compare 28 and -74
  Swap 28 and -74
  List after swap: [-71, -16, -74, 28, -54, 37, 4, 76, 80]
  Compare 28 and -54
  Swap 28 and -54
  List after swap: [-71, -16, -74, -54, 28, 37, 4, 76, 80]
  Compare 28 and 37
  No swap needed
  Compare 37 and 4
  Swap 37 and 4
  List after swap: [-71, -16, -74, -54, 28, 4, 37, 76, 80]

Pass 4:
  Compare -71 and -16
  No swap needed
  Compare -16 and -74
  Swap -16 and -74
  List after swap: [-71, -74, -16, -54, 28, 4, 37, 76, 80]
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-71, -74, -54, -16, 28, 4, 37, 76, 80]
  Compare -16 and 28
  No swap needed
  Compare 28 and 4
  Swap 28 and 4
  List after swap: [-71, -74, -54, -16, 4, 28, 37, 76, 80]

Pass 5:
  Compare -71 and -74
  Swap -71 and -74
  List after swap: [-74, -71, -54, -16, 4, 28, 37, 76, 80]
  Compare -71 and -54
  No swap needed
  Compare -54 and -16
  No swap needed
  Compare -16 and 4
  No swap needed

Pass 6:
  Compare -74 and -71
  No swap needed
  Compare -71 and -54
  No swap needed
  Compare -54 and -16
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-74, -71, -54, -16, 4, 28, 37, 76, 80]
</think>

<response>-74, -71, -54, -16, 4, 28, 37, 76, 80</response>


input: Arrange the numbers -97, 10, 34, -43, 23, -14, -8, 11, -46, 73 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-97, 10, 34, -43, 23, -14, -8, 11, -46, 73]

Pass 1:
  Compare -97 and 10
  No swap needed
  Compare 10 and 34
  No swap needed
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-97, 10, -43, 34, 23, -14, -8, 11, -46, 73]
  Compare 34 and 23
  Swap 34 and 23
  List after swap: [-97, 10, -43, 23, 34, -14, -8, 11, -46, 73]
  Compare 34 and -14
  Swap 34 and -14
  List after swap: [-97, 10, -43, 23, -14, 34, -8, 11, -46, 73]
  Compare 34 and -8
  Swap 34 and -8
  List after swap: [-97, 10, -43, 23, -14, -8, 34, 11, -46, 73]
  Compare 34 and 11
  Swap 34 and 11
  List after swap: [-97, 10, -43, 23, -14, -8, 11, 34, -46, 73]
  Compare 34 and -46
  Swap 34 and -46
  List after swap: [-97, 10, -43, 23, -14, -8, 11, -46, 34, 73]
  Compare 34 and 73
  No swap needed

Pass 2:
  Compare -97 and 10
  No swap needed
  Compare 10 and -43
  Swap 10 and -43
  List after swap: [-97, -43, 10, 23, -14, -8, 11, -46, 34, 73]
  Compare 10 and 23
  No swap needed
  Compare 23 and -14
  Swap 23 and -14
  List after swap: [-97, -43, 10, -14, 23, -8, 11, -46, 34, 73]
  Compare 23 and -8
  Swap 23 and -8
  List after swap: [-97, -43, 10, -14, -8, 23, 11, -46, 34, 73]
  Compare 23 and 11
  Swap 23 and 11
  List after swap: [-97, -43, 10, -14, -8, 11, 23, -46, 34, 73]
  Compare 23 and -46
  Swap 23 and -46
  List after swap: [-97, -43, 10, -14, -8, 11, -46, 23, 34, 73]
  Compare 23 and 34
  No swap needed

Pass 3:
  Compare -97 and -43
  No swap needed
  Compare -43 and 10
  No swap needed
  Compare 10 and -14
  Swap 10 and -14
  List after swap: [-97, -43, -14, 10, -8, 11, -46, 23, 34, 73]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-97, -43, -14, -8, 10, 11, -46, 23, 34, 73]
  Compare 10 and 11
  No swap needed
  Compare 11 and -46
  Swap 11 and -46
  List after swap: [-97, -43, -14, -8, 10, -46, 11, 23, 34, 73]
  Compare 11 and 23
  No swap needed

Pass 4:
  Compare -97 and -43
  No swap needed
  Compare -43 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and 10
  No swap needed
  Compare 10 and -46
  Swap 10 and -46
  List after swap: [-97, -43, -14, -8, -46, 10, 11, 23, 34, 73]
  Compare 10 and 11
  No swap needed

Pass 5:
  Compare -97 and -43
  No swap needed
  Compare -43 and -14
  No swap needed
  Compare -14 and -8
  No swap needed
  Compare -8 and -46
  Swap -8 and -46
  List after swap: [-97, -43, -14, -46, -8, 10, 11, 23, 34, 73]
  Compare -8 and 10
  No swap needed

Pass 6:
  Compare -97 and -43
  No swap needed
  Compare -43 and -14
  No swap needed
  Compare -14 and -46
  Swap -14 and -46
  List after swap: [-97, -43, -46, -14, -8, 10, 11, 23, 34, 73]
  Compare -14 and -8
  No swap needed

Pass 7:
  Compare -97 and -43
  No swap needed
  Compare -43 and -46
  Swap -43 and -46
  List after swap: [-97, -46, -43, -14, -8, 10, 11, 23, 34, 73]
  Compare -43 and -14
  No swap needed

Pass 8:
  Compare -97 and -46
  No swap needed
  Compare -46 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -46, -43, -14, -8, 10, 11, 23, 34, 73]
</think>

<response>-97, -46, -43, -14, -8, 10, 11, 23, 34, 73</response>


input: Demonstrate how bubble sort orders the integers 35, -28, -3, -83, 11 in ascending sequence, showing all steps.

output:
<think>
Initial list: [35, -28, -3, -83, 11]

Pass 1:
  Compare 35 and -28
  Swap 35 and -28
  List after swap: [-28, 35, -3, -83, 11]
  Compare 35 and -3
  Swap 35 and -3
  List after swap: [-28, -3, 35, -83, 11]
  Compare 35 and -83
  Swap 35 and -83
  List after swap: [-28, -3, -83, 35, 11]
  Compare 35 and 11
  Swap 35 and 11
  List after swap: [-28, -3, -83, 11, 35]

Pass 2:
  Compare -28 and -3
  No swap needed
  Compare -3 and -83
  Swap -3 and -83
  List after swap: [-28, -83, -3, 11, 35]
  Compare -3 and 11
  No swap needed

Pass 3:
  Compare -28 and -83
  Swap -28 and -83
  List after swap: [-83, -28, -3, 11, 35]
  Compare -28 and -3
  No swap needed

Pass 4:
  Compare -83 and -28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-83, -28, -3, 11, 35]
</think>

<response>-83, -28, -3, 11, 35</response>


input: Implement bubble sort on 91, 11, -10, -35, 53, -33, -69 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [91, 11, -10, -35, 53, -33, -69]

Pass 1:
  Compare 91 and 11
  Swap 91 and 11
  List after swap: [11, 91, -10, -35, 53, -33, -69]
  Compare 91 and -10
  Swap 91 and -10
  List after swap: [11, -10, 91, -35, 53, -33, -69]
  Compare 91 and -35
  Swap 91 and -35
  List after swap: [11, -10, -35, 91, 53, -33, -69]
  Compare 91 and 53
  Swap 91 and 53
  List after swap: [11, -10, -35, 53, 91, -33, -69]
  Compare 91 and -33
  Swap 91 and -33
  List after swap: [11, -10, -35, 53, -33, 91, -69]
  Compare 91 and -69
  Swap 91 and -69
  List after swap: [11, -10, -35, 53, -33, -69, 91]

Pass 2:
  Compare 11 and -10
  Swap 11 and -10
  List after swap: [-10, 11, -35, 53, -33, -69, 91]
  Compare 11 and -35
  Swap 11 and -35
  List after swap: [-10, -35, 11, 53, -33, -69, 91]
  Compare 11 and 53
  No swap needed
  Compare 53 and -33
  Swap 53 and -33
  List after swap: [-10, -35, 11, -33, 53, -69, 91]
  Compare 53 and -69
  Swap 53 and -69
  List after swap: [-10, -35, 11, -33, -69, 53, 91]

Pass 3:
  Compare -10 and -35
  Swap -10 and -35
  List after swap: [-35, -10, 11, -33, -69, 53, 91]
  Compare -10 and 11
  No swap needed
  Compare 11 and -33
  Swap 11 and -33
  List after swap: [-35, -10, -33, 11, -69, 53, 91]
  Compare 11 and -69
  Swap 11 and -69
  List after swap: [-35, -10, -33, -69, 11, 53, 91]

Pass 4:
  Compare -35 and -10
  No swap needed
  Compare -10 and -33
  Swap -10 and -33
  List after swap: [-35, -33, -10, -69, 11, 53, 91]
  Compare -10 and -69
  Swap -10 and -69
  List after swap: [-35, -33, -69, -10, 11, 53, 91]

Pass 5:
  Compare -35 and -33
  No swap needed
  Compare -33 and -69
  Swap -33 and -69
  List after swap: [-35, -69, -33, -10, 11, 53, 91]

Pass 6:
  Compare -35 and -69
  Swap -35 and -69
  List after swap: [-69, -35, -33, -10, 11, 53, 91]

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

Final sorted list: [-69, -35, -33, -10, 11, 53, 91]
</think>

<response>-69, -35, -33, -10, 11, 53, 91</response>


input: Execute bubble sort to sort 3, -86 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [3, -86]

Pass 1:
  Compare 3 and -86
  Swap 3 and -86
  List after swap: [-86, 3]

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

Final sorted list: [-86, 3]
</think>

<response>-86, 3</response>


input: Using the bubble sort method, sort 47, 95, -52, -22, 94, 28 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [47, 95, -52, -22, 94, 28]

Pass 1:
  Compare 47 and 95
  No swap needed
  Compare 95 and -52
  Swap 95 and -52
  List after swap: [47, -52, 95, -22, 94, 28]
  Compare 95 and -22
  Swap 95 and -22
  List after swap: [47, -52, -22, 95, 94, 28]
  Compare 95 and 94
  Swap 95 and 94
  List after swap: [47, -52, -22, 94, 95, 28]
  Compare 95 and 28
  Swap 95 and 28
  List after swap: [47, -52, -22, 94, 28, 95]

Pass 2:
  Compare 47 and -52
  Swap 47 and -52
  List after swap: [-52, 47, -22, 94, 28, 95]
  Compare 47 and -22
  Swap 47 and -22
  List after swap: [-52, -22, 47, 94, 28, 95]
  Compare 47 and 94
  No swap needed
  Compare 94 and 28
  Swap 94 and 28
  List after swap: [-52, -22, 47, 28, 94, 95]

Pass 3:
  Compare -52 and -22
  No swap needed
  Compare -22 and 47
  No swap needed
  Compare 47 and 28
  Swap 47 and 28
  List after swap: [-52, -22, 28, 47, 94, 95]

Pass 4:
  Compare -52 and -22
  No swap needed
  Compare -22 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-52, -22, 28, 47, 94, 95]
</think>

<response>-52, -22, 28, 47, 94, 95</response>


input: Execute bubble sort to sort 34, -85, -100, -35, 65 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [34, -85, -100, -35, 65]

Pass 1:
  Compare 34 and -85
  Swap 34 and -85
  List after swap: [-85, 34, -100, -35, 65]
  Compare 34 and -100
  Swap 34 and -100
  List after swap: [-85, -100, 34, -35, 65]
  Compare 34 and -35
  Swap 34 and -35
  List after swap: [-85, -100, -35, 34, 65]
  Compare 34 and 65
  No swap needed

Pass 2:
  Compare -85 and -100
  Swap -85 and -100
  List after swap: [-100, -85, -35, 34, 65]
  Compare -85 and -35
  No swap needed
  Compare -35 and 34
  No swap needed

Pass 3:
  Compare -100 and -85
  No swap needed
  Compare -85 and -35
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -85, -35, 34, 65]
</think>

<response>-100, -85, -35, 34, 65</response>


input: Use the bubble sort technique to reorder 75, -80, -10, 43, -73, -76, 33, 7, 84, -36 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [75, -80, -10, 43, -73, -76, 33, 7, 84, -36]

Pass 1:
  Compare 75 and -80
  Swap 75 and -80
  List after swap: [-80, 75, -10, 43, -73, -76, 33, 7, 84, -36]
  Compare 75 and -10
  Swap 75 and -10
  List after swap: [-80, -10, 75, 43, -73, -76, 33, 7, 84, -36]
  Compare 75 and 43
  Swap 75 and 43
  List after swap: [-80, -10, 43, 75, -73, -76, 33, 7, 84, -36]
  Compare 75 and -73
  Swap 75 and -73
  List after swap: [-80, -10, 43, -73, 75, -76, 33, 7, 84, -36]
  Compare 75 and -76
  Swap 75 and -76
  List after swap: [-80, -10, 43, -73, -76, 75, 33, 7, 84, -36]
  Compare 75 and 33
  Swap 75 and 33
  List after swap: [-80, -10, 43, -73, -76, 33, 75, 7, 84, -36]
  Compare 75 and 7
  Swap 75 and 7
  List after swap: [-80, -10, 43, -73, -76, 33, 7, 75, 84, -36]
  Compare 75 and 84
  No swap needed
  Compare 84 and -36
  Swap 84 and -36
  List after swap: [-80, -10, 43, -73, -76, 33, 7, 75, -36, 84]

Pass 2:
  Compare -80 and -10
  No swap needed
  Compare -10 and 43
  No swap needed
  Compare 43 and -73
  Swap 43 and -73
  List after swap: [-80, -10, -73, 43, -76, 33, 7, 75, -36, 84]
  Compare 43 and -76
  Swap 43 and -76
  List after swap: [-80, -10, -73, -76, 43, 33, 7, 75, -36, 84]
  Compare 43 and 33
  Swap 43 and 33
  List after swap: [-80, -10, -73, -76, 33, 43, 7, 75, -36, 84]
  Compare 43 and 7
  Swap 43 and 7
  List after swap: [-80, -10, -73, -76, 33, 7, 43, 75, -36, 84]
  Compare 43 and 75
  No swap needed
  Compare 75 and -36
  Swap 75 and -36
  List after swap: [-80, -10, -73, -76, 33, 7, 43, -36, 75, 84]

Pass 3:
  Compare -80 and -10
  No swap needed
  Compare -10 and -73
  Swap -10 and -73
  List after swap: [-80, -73, -10, -76, 33, 7, 43, -36, 75, 84]
  Compare -10 and -76
  Swap -10 and -76
  List after swap: [-80, -73, -76, -10, 33, 7, 43, -36, 75, 84]
  Compare -10 and 33
  No swap needed
  Compare 33 and 7
  Swap 33 and 7
  List after swap: [-80, -73, -76, -10, 7, 33, 43, -36, 75, 84]
  Compare 33 and 43
  No swap needed
  Compare 43 and -36
  Swap 43 and -36
  List after swap: [-80, -73, -76, -10, 7, 33, -36, 43, 75, 84]

Pass 4:
  Compare -80 and -73
  No swap needed
  Compare -73 and -76
  Swap -73 and -76
  List after swap: [-80, -76, -73, -10, 7, 33, -36, 43, 75, 84]
  Compare -73 and -10
  No swap needed
  Compare -10 and 7
  No swap needed
  Compare 7 and 33
  No swap needed
  Compare 33 and -36
  Swap 33 and -36
  List after swap: [-80, -76, -73, -10, 7, -36, 33, 43, 75, 84]

Pass 5:
  Compare -80 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -10
  No swap needed
  Compare -10 and 7
  No swap needed
  Compare 7 and -36
  Swap 7 and -36
  List after swap: [-80, -76, -73, -10, -36, 7, 33, 43, 75, 84]

Pass 6:
  Compare -80 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -10
  No swap needed
  Compare -10 and -36
  Swap -10 and -36
  List after swap: [-80, -76, -73, -36, -10, 7, 33, 43, 75, 84]

Pass 7:
  Compare -80 and -76
  No swap needed
  Compare -76 and -73
  No swap needed
  Compare -73 and -36
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -76, -73, -36, -10, 7, 33, 43, 75, 84]
</think>

<response>-80, -76, -73, -36, -10, 7, 33, 43, 75, 84</response>


input: Using the bubble sort method, sort 0, 21 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [0, 21]

Pass 1:
  Compare 0 and 21
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [0, 21]
</think>

<response>0, 21</response>


input: Perform a bubble sort on the integers 67, -64, -25, 44, -8, -16, 94, 61, -54, 46, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [67, -64, -25, 44, -8, -16, 94, 61, -54, 46]

Pass 1:
  Compare 67 and -64
  Swap 67 and -64
  List after swap: [-64, 67, -25, 44, -8, -16, 94, 61, -54, 46]
  Compare 67 and -25
  Swap 67 and -25
  List after swap: [-64, -25, 67, 44, -8, -16, 94, 61, -54, 46]
  Compare 67 and 44
  Swap 67 and 44
  List after swap: [-64, -25, 44, 67, -8, -16, 94, 61, -54, 46]
  Compare 67 and -8
  Swap 67 and -8
  List after swap: [-64, -25, 44, -8, 67, -16, 94, 61, -54, 46]
  Compare 67 and -16
  Swap 67 and -16
  List after swap: [-64, -25, 44, -8, -16, 67, 94, 61, -54, 46]
  Compare 67 and 94
  No swap needed
  Compare 94 and 61
  Swap 94 and 61
  List after swap: [-64, -25, 44, -8, -16, 67, 61, 94, -54, 46]
  Compare 94 and -54
  Swap 94 and -54
  List after swap: [-64, -25, 44, -8, -16, 67, 61, -54, 94, 46]
  Compare 94 and 46
  Swap 94 and 46
  List after swap: [-64, -25, 44, -8, -16, 67, 61, -54, 46, 94]

Pass 2:
  Compare -64 and -25
  No swap needed
  Compare -25 and 44
  No swap needed
  Compare 44 and -8
  Swap 44 and -8
  List after swap: [-64, -25, -8, 44, -16, 67, 61, -54, 46, 94]
  Compare 44 and -16
  Swap 44 and -16
  List after swap: [-64, -25, -8, -16, 44, 67, 61, -54, 46, 94]
  Compare 44 and 67
  No swap needed
  Compare 67 and 61
  Swap 67 and 61
  List after swap: [-64, -25, -8, -16, 44, 61, 67, -54, 46, 94]
  Compare 67 and -54
  Swap 67 and -54
  List after swap: [-64, -25, -8, -16, 44, 61, -54, 67, 46, 94]
  Compare 67 and 46
  Swap 67 and 46
  List after swap: [-64, -25, -8, -16, 44, 61, -54, 46, 67, 94]

Pass 3:
  Compare -64 and -25
  No swap needed
  Compare -25 and -8
  No swap needed
  Compare -8 and -16
  Swap -8 and -16
  List after swap: [-64, -25, -16, -8, 44, 61, -54, 46, 67, 94]
  Compare -8 and 44
  No swap needed
  Compare 44 and 61
  No swap needed
  Compare 61 and -54
  Swap 61 and -54
  List after swap: [-64, -25, -16, -8, 44, -54, 61, 46, 67, 94]
  Compare 61 and 46
  Swap 61 and 46
  List after swap: [-64, -25, -16, -8, 44, -54, 46, 61, 67, 94]

Pass 4:
  Compare -64 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and -8
  No swap needed
  Compare -8 and 44
  No swap needed
  Compare 44 and -54
  Swap 44 and -54
  List after swap: [-64, -25, -16, -8, -54, 44, 46, 61, 67, 94]
  Compare 44 and 46
  No swap needed

Pass 5:
  Compare -64 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and -8
  No swap needed
  Compare -8 and -54
  Swap -8 and -54
  List after swap: [-64, -25, -16, -54, -8, 44, 46, 61, 67, 94]
  Compare -8 and 44
  No swap needed

Pass 6:
  Compare -64 and -25
  No swap needed
  Compare -25 and -16
  No swap needed
  Compare -16 and -54
  Swap -16 and -54
  List after swap: [-64, -25, -54, -16, -8, 44, 46, 61, 67, 94]
  Compare -16 and -8
  No swap needed

Pass 7:
  Compare -64 and -25
  No swap needed
  Compare -25 and -54
  Swap -25 and -54
  List after swap: [-64, -54, -25, -16, -8, 44, 46, 61, 67, 94]
  Compare -25 and -16
  No swap needed

Pass 8:
  Compare -64 and -54
  No swap needed
  Compare -54 and -25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-64, -54, -25, -16, -8, 44, 46, 61, 67, 94]
</think>

<response>-64, -54, -25, -16, -8, 44, 46, 61, 67, 94</response>


input: Sort these integers -30, -61, 27, -45, -98 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-30, -61, 27, -45, -98]

Pass 1:
  Compare -30 and -61
  Swap -30 and -61
  List after swap: [-61, -30, 27, -45, -98]
  Compare -30 and 27
  No swap needed
  Compare 27 and -45
  Swap 27 and -45
  List after swap: [-61, -30, -45, 27, -98]
  Compare 27 and -98
  Swap 27 and -98
  List after swap: [-61, -30, -45, -98, 27]

Pass 2:
  Compare -61 and -30
  No swap needed
  Compare -30 and -45
  Swap -30 and -45
  List after swap: [-61, -45, -30, -98, 27]
  Compare -30 and -98
  Swap -30 and -98
  List after swap: [-61, -45, -98, -30, 27]

Pass 3:
  Compare -61 and -45
  No swap needed
  Compare -45 and -98
  Swap -45 and -98
  List after swap: [-61, -98, -45, -30, 27]

Pass 4:
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-98, -61, -45, -30, 27]

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

Final sorted list: [-98, -61, -45, -30, 27]
</think>

<response>-98, -61, -45, -30, 27</response>


input: Sort these integers -47, -33, 25, -40 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [-47, -33, 25, -40]

Pass 1:
  Compare -47 and -33
  No swap needed
  Compare -33 and 25
  No swap needed
  Compare 25 and -40
  Swap 25 and -40
  List after swap: [-47, -33, -40, 25]

Pass 2:
  Compare -47 and -33
  No swap needed
  Compare -33 and -40
  Swap -33 and -40
  List after swap: [-47, -40, -33, 25]

Pass 3:
  Compare -47 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-47, -40, -33, 25]
</think>

<response>-47, -40, -33, 25</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -65, -88, 79, -46, 68, 31, 15.

output:
<think>
Initial list: [-65, -88, 79, -46, 68, 31, 15]

Pass 1:
  Compare -65 and -88
  Swap -65 and -88
  List after swap: [-88, -65, 79, -46, 68, 31, 15]
  Compare -65 and 79
  No swap needed
  Compare 79 and -46
  Swap 79 and -46
  List after swap: [-88, -65, -46, 79, 68, 31, 15]
  Compare 79 and 68
  Swap 79 and 68
  List after swap: [-88, -65, -46, 68, 79, 31, 15]
  Compare 79 and 31
  Swap 79 and 31
  List after swap: [-88, -65, -46, 68, 31, 79, 15]
  Compare 79 and 15
  Swap 79 and 15
  List after swap: [-88, -65, -46, 68, 31, 15, 79]

Pass 2:
  Compare -88 and -65
  No swap needed
  Compare -65 and -46
  No swap needed
  Compare -46 and 68
  No swap needed
  Compare 68 and 31
  Swap 68 and 31
  List after swap: [-88, -65, -46, 31, 68, 15, 79]
  Compare 68 and 15
  Swap 68 and 15
  List after swap: [-88, -65, -46, 31, 15, 68, 79]

Pass 3:
  Compare -88 and -65
  No swap needed
  Compare -65 and -46
  No swap needed
  Compare -46 and 31
  No swap needed
  Compare 31 and 15
  Swap 31 and 15
  List after swap: [-88, -65, -46, 15, 31, 68, 79]

Pass 4:
  Compare -88 and -65
  No swap needed
  Compare -65 and -46
  No swap needed
  Compare -46 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-88, -65, -46, 15, 31, 68, 79]
</think>

<response>-88, -65, -46, 15, 31, 68, 79</response>


input: Implement bubble sort on 60, 66, -10, 88, 59 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [60, 66, -10, 88, 59]

Pass 1:
  Compare 60 and 66
  No swap needed
  Compare 66 and -10
  Swap 66 and -10
  List after swap: [60, -10, 66, 88, 59]
  Compare 66 and 88
  No swap needed
  Compare 88 and 59
  Swap 88 and 59
  List after swap: [60, -10, 66, 59, 88]

Pass 2:
  Compare 60 and -10
  Swap 60 and -10
  List after swap: [-10, 60, 66, 59, 88]
  Compare 60 and 66
  No swap needed
  Compare 66 and 59
  Swap 66 and 59
  List after swap: [-10, 60, 59, 66, 88]

Pass 3:
  Compare -10 and 60
  No swap needed
  Compare 60 and 59
  Swap 60 and 59
  List after swap: [-10, 59, 60, 66, 88]

Pass 4:
  Compare -10 and 59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-10, 59, 60, 66, 88]
</think>

<response>-10, 59, 60, 66, 88</response>