input: Perform a bubble sort on the integers 39, 53, 7, -62, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [39, 53, 7, -62]

Pass 1:
  Compare 39 and 53
  No swap needed
  Compare 53 and 7
  Swap 53 and 7
  List after swap: [39, 7, 53, -62]
  Compare 53 and -62
  Swap 53 and -62
  List after swap: [39, 7, -62, 53]

Pass 2:
  Compare 39 and 7
  Swap 39 and 7
  List after swap: [7, 39, -62, 53]
  Compare 39 and -62
  Swap 39 and -62
  List after swap: [7, -62, 39, 53]

Pass 3:
  Compare 7 and -62
  Swap 7 and -62
  List after swap: [-62, 7, 39, 53]

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

Final sorted list: [-62, 7, 39, 53]
</think>

<response>-62, 7, 39, 53</response>


input: Carry out the bubble sort algorithm on -21, 10, 26, -72, -8, -22, -50, 51, 28, -99 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-21, 10, 26, -72, -8, -22, -50, 51, 28, -99]

Pass 1:
  Compare -21 and 10
  No swap needed
  Compare 10 and 26
  No swap needed
  Compare 26 and -72
  Swap 26 and -72
  List after swap: [-21, 10, -72, 26, -8, -22, -50, 51, 28, -99]
  Compare 26 and -8
  Swap 26 and -8
  List after swap: [-21, 10, -72, -8, 26, -22, -50, 51, 28, -99]
  Compare 26 and -22
  Swap 26 and -22
  List after swap: [-21, 10, -72, -8, -22, 26, -50, 51, 28, -99]
  Compare 26 and -50
  Swap 26 and -50
  List after swap: [-21, 10, -72, -8, -22, -50, 26, 51, 28, -99]
  Compare 26 and 51
  No swap needed
  Compare 51 and 28
  Swap 51 and 28
  List after swap: [-21, 10, -72, -8, -22, -50, 26, 28, 51, -99]
  Compare 51 and -99
  Swap 51 and -99
  List after swap: [-21, 10, -72, -8, -22, -50, 26, 28, -99, 51]

Pass 2:
  Compare -21 and 10
  No swap needed
  Compare 10 and -72
  Swap 10 and -72
  List after swap: [-21, -72, 10, -8, -22, -50, 26, 28, -99, 51]
  Compare 10 and -8
  Swap 10 and -8
  List after swap: [-21, -72, -8, 10, -22, -50, 26, 28, -99, 51]
  Compare 10 and -22
  Swap 10 and -22
  List after swap: [-21, -72, -8, -22, 10, -50, 26, 28, -99, 51]
  Compare 10 and -50
  Swap 10 and -50
  List after swap: [-21, -72, -8, -22, -50, 10, 26, 28, -99, 51]
  Compare 10 and 26
  No swap needed
  Compare 26 and 28
  No swap needed
  Compare 28 and -99
  Swap 28 and -99
  List after swap: [-21, -72, -8, -22, -50, 10, 26, -99, 28, 51]

Pass 3:
  Compare -21 and -72
  Swap -21 and -72
  List after swap: [-72, -21, -8, -22, -50, 10, 26, -99, 28, 51]
  Compare -21 and -8
  No swap needed
  Compare -8 and -22
  Swap -8 and -22
  List after swap: [-72, -21, -22, -8, -50, 10, 26, -99, 28, 51]
  Compare -8 and -50
  Swap -8 and -50
  List after swap: [-72, -21, -22, -50, -8, 10, 26, -99, 28, 51]
  Compare -8 and 10
  No swap needed
  Compare 10 and 26
  No swap needed
  Compare 26 and -99
  Swap 26 and -99
  List after swap: [-72, -21, -22, -50, -8, 10, -99, 26, 28, 51]

Pass 4:
  Compare -72 and -21
  No swap needed
  Compare -21 and -22
  Swap -21 and -22
  List after swap: [-72, -22, -21, -50, -8, 10, -99, 26, 28, 51]
  Compare -21 and -50
  Swap -21 and -50
  List after swap: [-72, -22, -50, -21, -8, 10, -99, 26, 28, 51]
  Compare -21 and -8
  No swap needed
  Compare -8 and 10
  No swap needed
  Compare 10 and -99
  Swap 10 and -99
  List after swap: [-72, -22, -50, -21, -8, -99, 10, 26, 28, 51]

Pass 5:
  Compare -72 and -22
  No swap needed
  Compare -22 and -50
  Swap -22 and -50
  List after swap: [-72, -50, -22, -21, -8, -99, 10, 26, 28, 51]
  Compare -22 and -21
  No swap needed
  Compare -21 and -8
  No swap needed
  Compare -8 and -99
  Swap -8 and -99
  List after swap: [-72, -50, -22, -21, -99, -8, 10, 26, 28, 51]

Pass 6:
  Compare -72 and -50
  No swap needed
  Compare -50 and -22
  No swap needed
  Compare -22 and -21
  No swap needed
  Compare -21 and -99
  Swap -21 and -99
  List after swap: [-72, -50, -22, -99, -21, -8, 10, 26, 28, 51]

Pass 7:
  Compare -72 and -50
  No swap needed
  Compare -50 and -22
  No swap needed
  Compare -22 and -99
  Swap -22 and -99
  List after swap: [-72, -50, -99, -22, -21, -8, 10, 26, 28, 51]

Pass 8:
  Compare -72 and -50
  No swap needed
  Compare -50 and -99
  Swap -50 and -99
  List after swap: [-72, -99, -50, -22, -21, -8, 10, 26, 28, 51]

Pass 9:
  Compare -72 and -99
  Swap -72 and -99
  List after swap: [-99, -72, -50, -22, -21, -8, 10, 26, 28, 51]

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

Final sorted list: [-99, -72, -50, -22, -21, -8, 10, 26, 28, 51]
</think>

<response>-99, -72, -50, -22, -21, -8, 10, 26, 28, 51</response>


input: Sort the list -42, 60, -16, -4, -94, 27, -77, 16, -97, 2 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-42, 60, -16, -4, -94, 27, -77, 16, -97, 2]

Pass 1:
  Compare -42 and 60
  No swap needed
  Compare 60 and -16
  Swap 60 and -16
  List after swap: [-42, -16, 60, -4, -94, 27, -77, 16, -97, 2]
  Compare 60 and -4
  Swap 60 and -4
  List after swap: [-42, -16, -4, 60, -94, 27, -77, 16, -97, 2]
  Compare 60 and -94
  Swap 60 and -94
  List after swap: [-42, -16, -4, -94, 60, 27, -77, 16, -97, 2]
  Compare 60 and 27
  Swap 60 and 27
  List after swap: [-42, -16, -4, -94, 27, 60, -77, 16, -97, 2]
  Compare 60 and -77
  Swap 60 and -77
  List after swap: [-42, -16, -4, -94, 27, -77, 60, 16, -97, 2]
  Compare 60 and 16
  Swap 60 and 16
  List after swap: [-42, -16, -4, -94, 27, -77, 16, 60, -97, 2]
  Compare 60 and -97
  Swap 60 and -97
  List after swap: [-42, -16, -4, -94, 27, -77, 16, -97, 60, 2]
  Compare 60 and 2
  Swap 60 and 2
  List after swap: [-42, -16, -4, -94, 27, -77, 16, -97, 2, 60]

Pass 2:
  Compare -42 and -16
  No swap needed
  Compare -16 and -4
  No swap needed
  Compare -4 and -94
  Swap -4 and -94
  List after swap: [-42, -16, -94, -4, 27, -77, 16, -97, 2, 60]
  Compare -4 and 27
  No swap needed
  Compare 27 and -77
  Swap 27 and -77
  List after swap: [-42, -16, -94, -4, -77, 27, 16, -97, 2, 60]
  Compare 27 and 16
  Swap 27 and 16
  List after swap: [-42, -16, -94, -4, -77, 16, 27, -97, 2, 60]
  Compare 27 and -97
  Swap 27 and -97
  List after swap: [-42, -16, -94, -4, -77, 16, -97, 27, 2, 60]
  Compare 27 and 2
  Swap 27 and 2
  List after swap: [-42, -16, -94, -4, -77, 16, -97, 2, 27, 60]

Pass 3:
  Compare -42 and -16
  No swap needed
  Compare -16 and -94
  Swap -16 and -94
  List after swap: [-42, -94, -16, -4, -77, 16, -97, 2, 27, 60]
  Compare -16 and -4
  No swap needed
  Compare -4 and -77
  Swap -4 and -77
  List after swap: [-42, -94, -16, -77, -4, 16, -97, 2, 27, 60]
  Compare -4 and 16
  No swap needed
  Compare 16 and -97
  Swap 16 and -97
  List after swap: [-42, -94, -16, -77, -4, -97, 16, 2, 27, 60]
  Compare 16 and 2
  Swap 16 and 2
  List after swap: [-42, -94, -16, -77, -4, -97, 2, 16, 27, 60]

Pass 4:
  Compare -42 and -94
  Swap -42 and -94
  List after swap: [-94, -42, -16, -77, -4, -97, 2, 16, 27, 60]
  Compare -42 and -16
  No swap needed
  Compare -16 and -77
  Swap -16 and -77
  List after swap: [-94, -42, -77, -16, -4, -97, 2, 16, 27, 60]
  Compare -16 and -4
  No swap needed
  Compare -4 and -97
  Swap -4 and -97
  List after swap: [-94, -42, -77, -16, -97, -4, 2, 16, 27, 60]
  Compare -4 and 2
  No swap needed

Pass 5:
  Compare -94 and -42
  No swap needed
  Compare -42 and -77
  Swap -42 and -77
  List after swap: [-94, -77, -42, -16, -97, -4, 2, 16, 27, 60]
  Compare -42 and -16
  No swap needed
  Compare -16 and -97
  Swap -16 and -97
  List after swap: [-94, -77, -42, -97, -16, -4, 2, 16, 27, 60]
  Compare -16 and -4
  No swap needed

Pass 6:
  Compare -94 and -77
  No swap needed
  Compare -77 and -42
  No swap needed
  Compare -42 and -97
  Swap -42 and -97
  List after swap: [-94, -77, -97, -42, -16, -4, 2, 16, 27, 60]
  Compare -42 and -16
  No swap needed

Pass 7:
  Compare -94 and -77
  No swap needed
  Compare -77 and -97
  Swap -77 and -97
  List after swap: [-94, -97, -77, -42, -16, -4, 2, 16, 27, 60]
  Compare -77 and -42
  No swap needed

Pass 8:
  Compare -94 and -97
  Swap -94 and -97
  List after swap: [-97, -94, -77, -42, -16, -4, 2, 16, 27, 60]
  Compare -94 and -77
  No swap needed

Pass 9:
  Compare -97 and -94
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -94, -77, -42, -16, -4, 2, 16, 27, 60]
</think>

<response>-97, -94, -77, -42, -16, -4, 2, 16, 27, 60</response>


input: Using the bubble sort method, sort -14, 24, 75, -59, -89, 6, 80 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-14, 24, 75, -59, -89, 6, 80]

Pass 1:
  Compare -14 and 24
  No swap needed
  Compare 24 and 75
  No swap needed
  Compare 75 and -59
  Swap 75 and -59
  List after swap: [-14, 24, -59, 75, -89, 6, 80]
  Compare 75 and -89
  Swap 75 and -89
  List after swap: [-14, 24, -59, -89, 75, 6, 80]
  Compare 75 and 6
  Swap 75 and 6
  List after swap: [-14, 24, -59, -89, 6, 75, 80]
  Compare 75 and 80
  No swap needed

Pass 2:
  Compare -14 and 24
  No swap needed
  Compare 24 and -59
  Swap 24 and -59
  List after swap: [-14, -59, 24, -89, 6, 75, 80]
  Compare 24 and -89
  Swap 24 and -89
  List after swap: [-14, -59, -89, 24, 6, 75, 80]
  Compare 24 and 6
  Swap 24 and 6
  List after swap: [-14, -59, -89, 6, 24, 75, 80]
  Compare 24 and 75
  No swap needed

Pass 3:
  Compare -14 and -59
  Swap -14 and -59
  List after swap: [-59, -14, -89, 6, 24, 75, 80]
  Compare -14 and -89
  Swap -14 and -89
  List after swap: [-59, -89, -14, 6, 24, 75, 80]
  Compare -14 and 6
  No swap needed
  Compare 6 and 24
  No swap needed

Pass 4:
  Compare -59 and -89
  Swap -59 and -89
  List after swap: [-89, -59, -14, 6, 24, 75, 80]
  Compare -59 and -14
  No swap needed
  Compare -14 and 6
  No swap needed

Pass 5:
  Compare -89 and -59
  No swap needed
  Compare -59 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -59, -14, 6, 24, 75, 80]
</think>

<response>-89, -59, -14, 6, 24, 75, 80</response>


input: Sort the list -6, -35, 80, 95, -73, -38, 9, -23, 86 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-6, -35, 80, 95, -73, -38, 9, -23, 86]

Pass 1:
  Compare -6 and -35
  Swap -6 and -35
  List after swap: [-35, -6, 80, 95, -73, -38, 9, -23, 86]
  Compare -6 and 80
  No swap needed
  Compare 80 and 95
  No swap needed
  Compare 95 and -73
  Swap 95 and -73
  List after swap: [-35, -6, 80, -73, 95, -38, 9, -23, 86]
  Compare 95 and -38
  Swap 95 and -38
  List after swap: [-35, -6, 80, -73, -38, 95, 9, -23, 86]
  Compare 95 and 9
  Swap 95 and 9
  List after swap: [-35, -6, 80, -73, -38, 9, 95, -23, 86]
  Compare 95 and -23
  Swap 95 and -23
  List after swap: [-35, -6, 80, -73, -38, 9, -23, 95, 86]
  Compare 95 and 86
  Swap 95 and 86
  List after swap: [-35, -6, 80, -73, -38, 9, -23, 86, 95]

Pass 2:
  Compare -35 and -6
  No swap needed
  Compare -6 and 80
  No swap needed
  Compare 80 and -73
  Swap 80 and -73
  List after swap: [-35, -6, -73, 80, -38, 9, -23, 86, 95]
  Compare 80 and -38
  Swap 80 and -38
  List after swap: [-35, -6, -73, -38, 80, 9, -23, 86, 95]
  Compare 80 and 9
  Swap 80 and 9
  List after swap: [-35, -6, -73, -38, 9, 80, -23, 86, 95]
  Compare 80 and -23
  Swap 80 and -23
  List after swap: [-35, -6, -73, -38, 9, -23, 80, 86, 95]
  Compare 80 and 86
  No swap needed

Pass 3:
  Compare -35 and -6
  No swap needed
  Compare -6 and -73
  Swap -6 and -73
  List after swap: [-35, -73, -6, -38, 9, -23, 80, 86, 95]
  Compare -6 and -38
  Swap -6 and -38
  List after swap: [-35, -73, -38, -6, 9, -23, 80, 86, 95]
  Compare -6 and 9
  No swap needed
  Compare 9 and -23
  Swap 9 and -23
  List after swap: [-35, -73, -38, -6, -23, 9, 80, 86, 95]
  Compare 9 and 80
  No swap needed

Pass 4:
  Compare -35 and -73
  Swap -35 and -73
  List after swap: [-73, -35, -38, -6, -23, 9, 80, 86, 95]
  Compare -35 and -38
  Swap -35 and -38
  List after swap: [-73, -38, -35, -6, -23, 9, 80, 86, 95]
  Compare -35 and -6
  No swap needed
  Compare -6 and -23
  Swap -6 and -23
  List after swap: [-73, -38, -35, -23, -6, 9, 80, 86, 95]
  Compare -6 and 9
  No swap needed

Pass 5:
  Compare -73 and -38
  No swap needed
  Compare -38 and -35
  No swap needed
  Compare -35 and -23
  No swap needed
  Compare -23 and -6
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-73, -38, -35, -23, -6, 9, 80, 86, 95]
</think>

<response>-73, -38, -35, -23, -6, 9, 80, 86, 95</response>


input: Use the bubble sort technique to reorder -43, 63, -87, -18, 94, -89, 75, 23, -88, 68 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-43, 63, -87, -18, 94, -89, 75, 23, -88, 68]

Pass 1:
  Compare -43 and 63
  No swap needed
  Compare 63 and -87
  Swap 63 and -87
  List after swap: [-43, -87, 63, -18, 94, -89, 75, 23, -88, 68]
  Compare 63 and -18
  Swap 63 and -18
  List after swap: [-43, -87, -18, 63, 94, -89, 75, 23, -88, 68]
  Compare 63 and 94
  No swap needed
  Compare 94 and -89
  Swap 94 and -89
  List after swap: [-43, -87, -18, 63, -89, 94, 75, 23, -88, 68]
  Compare 94 and 75
  Swap 94 and 75
  List after swap: [-43, -87, -18, 63, -89, 75, 94, 23, -88, 68]
  Compare 94 and 23
  Swap 94 and 23
  List after swap: [-43, -87, -18, 63, -89, 75, 23, 94, -88, 68]
  Compare 94 and -88
  Swap 94 and -88
  List after swap: [-43, -87, -18, 63, -89, 75, 23, -88, 94, 68]
  Compare 94 and 68
  Swap 94 and 68
  List after swap: [-43, -87, -18, 63, -89, 75, 23, -88, 68, 94]

Pass 2:
  Compare -43 and -87
  Swap -43 and -87
  List after swap: [-87, -43, -18, 63, -89, 75, 23, -88, 68, 94]
  Compare -43 and -18
  No swap needed
  Compare -18 and 63
  No swap needed
  Compare 63 and -89
  Swap 63 and -89
  List after swap: [-87, -43, -18, -89, 63, 75, 23, -88, 68, 94]
  Compare 63 and 75
  No swap needed
  Compare 75 and 23
  Swap 75 and 23
  List after swap: [-87, -43, -18, -89, 63, 23, 75, -88, 68, 94]
  Compare 75 and -88
  Swap 75 and -88
  List after swap: [-87, -43, -18, -89, 63, 23, -88, 75, 68, 94]
  Compare 75 and 68
  Swap 75 and 68
  List after swap: [-87, -43, -18, -89, 63, 23, -88, 68, 75, 94]

Pass 3:
  Compare -87 and -43
  No swap needed
  Compare -43 and -18
  No swap needed
  Compare -18 and -89
  Swap -18 and -89
  List after swap: [-87, -43, -89, -18, 63, 23, -88, 68, 75, 94]
  Compare -18 and 63
  No swap needed
  Compare 63 and 23
  Swap 63 and 23
  List after swap: [-87, -43, -89, -18, 23, 63, -88, 68, 75, 94]
  Compare 63 and -88
  Swap 63 and -88
  List after swap: [-87, -43, -89, -18, 23, -88, 63, 68, 75, 94]
  Compare 63 and 68
  No swap needed

Pass 4:
  Compare -87 and -43
  No swap needed
  Compare -43 and -89
  Swap -43 and -89
  List after swap: [-87, -89, -43, -18, 23, -88, 63, 68, 75, 94]
  Compare -43 and -18
  No swap needed
  Compare -18 and 23
  No swap needed
  Compare 23 and -88
  Swap 23 and -88
  List after swap: [-87, -89, -43, -18, -88, 23, 63, 68, 75, 94]
  Compare 23 and 63
  No swap needed

Pass 5:
  Compare -87 and -89
  Swap -87 and -89
  List after swap: [-89, -87, -43, -18, -88, 23, 63, 68, 75, 94]
  Compare -87 and -43
  No swap needed
  Compare -43 and -18
  No swap needed
  Compare -18 and -88
  Swap -18 and -88
  List after swap: [-89, -87, -43, -88, -18, 23, 63, 68, 75, 94]
  Compare -18 and 23
  No swap needed

Pass 6:
  Compare -89 and -87
  No swap needed
  Compare -87 and -43
  No swap needed
  Compare -43 and -88
  Swap -43 and -88
  List after swap: [-89, -87, -88, -43, -18, 23, 63, 68, 75, 94]
  Compare -43 and -18
  No swap needed

Pass 7:
  Compare -89 and -87
  No swap needed
  Compare -87 and -88
  Swap -87 and -88
  List after swap: [-89, -88, -87, -43, -18, 23, 63, 68, 75, 94]
  Compare -87 and -43
  No swap needed

Pass 8:
  Compare -89 and -88
  No swap needed
  Compare -88 and -87
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-89, -88, -87, -43, -18, 23, 63, 68, 75, 94]
</think>

<response>-89, -88, -87, -43, -18, 23, 63, 68, 75, 94</response>


input: Implement bubble sort on 74, 67, -55, 75, 32, -46, 81 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [74, 67, -55, 75, 32, -46, 81]

Pass 1:
  Compare 74 and 67
  Swap 74 and 67
  List after swap: [67, 74, -55, 75, 32, -46, 81]
  Compare 74 and -55
  Swap 74 and -55
  List after swap: [67, -55, 74, 75, 32, -46, 81]
  Compare 74 and 75
  No swap needed
  Compare 75 and 32
  Swap 75 and 32
  List after swap: [67, -55, 74, 32, 75, -46, 81]
  Compare 75 and -46
  Swap 75 and -46
  List after swap: [67, -55, 74, 32, -46, 75, 81]
  Compare 75 and 81
  No swap needed

Pass 2:
  Compare 67 and -55
  Swap 67 and -55
  List after swap: [-55, 67, 74, 32, -46, 75, 81]
  Compare 67 and 74
  No swap needed
  Compare 74 and 32
  Swap 74 and 32
  List after swap: [-55, 67, 32, 74, -46, 75, 81]
  Compare 74 and -46
  Swap 74 and -46
  List after swap: [-55, 67, 32, -46, 74, 75, 81]
  Compare 74 and 75
  No swap needed

Pass 3:
  Compare -55 and 67
  No swap needed
  Compare 67 and 32
  Swap 67 and 32
  List after swap: [-55, 32, 67, -46, 74, 75, 81]
  Compare 67 and -46
  Swap 67 and -46
  List after swap: [-55, 32, -46, 67, 74, 75, 81]
  Compare 67 and 74
  No swap needed

Pass 4:
  Compare -55 and 32
  No swap needed
  Compare 32 and -46
  Swap 32 and -46
  List after swap: [-55, -46, 32, 67, 74, 75, 81]
  Compare 32 and 67
  No swap needed

Pass 5:
  Compare -55 and -46
  No swap needed
  Compare -46 and 32
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-55, -46, 32, 67, 74, 75, 81]
</think>

<response>-55, -46, 32, 67, 74, 75, 81</response>


input: Arrange the numbers 11, -56, 16, 71, 43, -37, -69, 72, -68, 18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, -56, 16, 71, 43, -37, -69, 72, -68, 18]

Pass 1:
  Compare 11 and -56
  Swap 11 and -56
  List after swap: [-56, 11, 16, 71, 43, -37, -69, 72, -68, 18]
  Compare 11 and 16
  No swap needed
  Compare 16 and 71
  No swap needed
  Compare 71 and 43
  Swap 71 and 43
  List after swap: [-56, 11, 16, 43, 71, -37, -69, 72, -68, 18]
  Compare 71 and -37
  Swap 71 and -37
  List after swap: [-56, 11, 16, 43, -37, 71, -69, 72, -68, 18]
  Compare 71 and -69
  Swap 71 and -69
  List after swap: [-56, 11, 16, 43, -37, -69, 71, 72, -68, 18]
  Compare 71 and 72
  No swap needed
  Compare 72 and -68
  Swap 72 and -68
  List after swap: [-56, 11, 16, 43, -37, -69, 71, -68, 72, 18]
  Compare 72 and 18
  Swap 72 and 18
  List after swap: [-56, 11, 16, 43, -37, -69, 71, -68, 18, 72]

Pass 2:
  Compare -56 and 11
  No swap needed
  Compare 11 and 16
  No swap needed
  Compare 16 and 43
  No swap needed
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-56, 11, 16, -37, 43, -69, 71, -68, 18, 72]
  Compare 43 and -69
  Swap 43 and -69
  List after swap: [-56, 11, 16, -37, -69, 43, 71, -68, 18, 72]
  Compare 43 and 71
  No swap needed
  Compare 71 and -68
  Swap 71 and -68
  List after swap: [-56, 11, 16, -37, -69, 43, -68, 71, 18, 72]
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [-56, 11, 16, -37, -69, 43, -68, 18, 71, 72]

Pass 3:
  Compare -56 and 11
  No swap needed
  Compare 11 and 16
  No swap needed
  Compare 16 and -37
  Swap 16 and -37
  List after swap: [-56, 11, -37, 16, -69, 43, -68, 18, 71, 72]
  Compare 16 and -69
  Swap 16 and -69
  List after swap: [-56, 11, -37, -69, 16, 43, -68, 18, 71, 72]
  Compare 16 and 43
  No swap needed
  Compare 43 and -68
  Swap 43 and -68
  List after swap: [-56, 11, -37, -69, 16, -68, 43, 18, 71, 72]
  Compare 43 and 18
  Swap 43 and 18
  List after swap: [-56, 11, -37, -69, 16, -68, 18, 43, 71, 72]

Pass 4:
  Compare -56 and 11
  No swap needed
  Compare 11 and -37
  Swap 11 and -37
  List after swap: [-56, -37, 11, -69, 16, -68, 18, 43, 71, 72]
  Compare 11 and -69
  Swap 11 and -69
  List after swap: [-56, -37, -69, 11, 16, -68, 18, 43, 71, 72]
  Compare 11 and 16
  No swap needed
  Compare 16 and -68
  Swap 16 and -68
  List after swap: [-56, -37, -69, 11, -68, 16, 18, 43, 71, 72]
  Compare 16 and 18
  No swap needed

Pass 5:
  Compare -56 and -37
  No swap needed
  Compare -37 and -69
  Swap -37 and -69
  List after swap: [-56, -69, -37, 11, -68, 16, 18, 43, 71, 72]
  Compare -37 and 11
  No swap needed
  Compare 11 and -68
  Swap 11 and -68
  List after swap: [-56, -69, -37, -68, 11, 16, 18, 43, 71, 72]
  Compare 11 and 16
  No swap needed

Pass 6:
  Compare -56 and -69
  Swap -56 and -69
  List after swap: [-69, -56, -37, -68, 11, 16, 18, 43, 71, 72]
  Compare -56 and -37
  No swap needed
  Compare -37 and -68
  Swap -37 and -68
  List after swap: [-69, -56, -68, -37, 11, 16, 18, 43, 71, 72]
  Compare -37 and 11
  No swap needed

Pass 7:
  Compare -69 and -56
  No swap needed
  Compare -56 and -68
  Swap -56 and -68
  List after swap: [-69, -68, -56, -37, 11, 16, 18, 43, 71, 72]
  Compare -56 and -37
  No swap needed

Pass 8:
  Compare -69 and -68
  No swap needed
  Compare -68 and -56
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-69, -68, -56, -37, 11, 16, 18, 43, 71, 72]
</think>

<response>-69, -68, -56, -37, 11, 16, 18, 43, 71, 72</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: 50, -46, -41.

output:
<think>
Initial list: [50, -46, -41]

Pass 1:
  Compare 50 and -46
  Swap 50 and -46
  List after swap: [-46, 50, -41]
  Compare 50 and -41
  Swap 50 and -41
  List after swap: [-46, -41, 50]

Pass 2:
  Compare -46 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-46, -41, 50]
</think>

<response>-46, -41, 50</response>


input: Using the bubble sort method, sort -40, 51, -15, -14 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-40, 51, -15, -14]

Pass 1:
  Compare -40 and 51
  No swap needed
  Compare 51 and -15
  Swap 51 and -15
  List after swap: [-40, -15, 51, -14]
  Compare 51 and -14
  Swap 51 and -14
  List after swap: [-40, -15, -14, 51]

Pass 2:
  Compare -40 and -15
  No swap needed
  Compare -15 and -14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-40, -15, -14, 51]
</think>

<response>-40, -15, -14, 51</response>


input: Implement bubble sort on 59, -77, -93, 46, -48, 3, 91 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [59, -77, -93, 46, -48, 3, 91]

Pass 1:
  Compare 59 and -77
  Swap 59 and -77
  List after swap: [-77, 59, -93, 46, -48, 3, 91]
  Compare 59 and -93
  Swap 59 and -93
  List after swap: [-77, -93, 59, 46, -48, 3, 91]
  Compare 59 and 46
  Swap 59 and 46
  List after swap: [-77, -93, 46, 59, -48, 3, 91]
  Compare 59 and -48
  Swap 59 and -48
  List after swap: [-77, -93, 46, -48, 59, 3, 91]
  Compare 59 and 3
  Swap 59 and 3
  List after swap: [-77, -93, 46, -48, 3, 59, 91]
  Compare 59 and 91
  No swap needed

Pass 2:
  Compare -77 and -93
  Swap -77 and -93
  List after swap: [-93, -77, 46, -48, 3, 59, 91]
  Compare -77 and 46
  No swap needed
  Compare 46 and -48
  Swap 46 and -48
  List after swap: [-93, -77, -48, 46, 3, 59, 91]
  Compare 46 and 3
  Swap 46 and 3
  List after swap: [-93, -77, -48, 3, 46, 59, 91]
  Compare 46 and 59
  No swap needed

Pass 3:
  Compare -93 and -77
  No swap needed
  Compare -77 and -48
  No swap needed
  Compare -48 and 3
  No swap needed
  Compare 3 and 46
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -77, -48, 3, 46, 59, 91]
</think>

<response>-93, -77, -48, 3, 46, 59, 91</response>


input: Demonstrate how bubble sort orders the integers -94, -4, -73, 59, -3, 36, -1, 50, 13 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-94, -4, -73, 59, -3, 36, -1, 50, 13]

Pass 1:
  Compare -94 and -4
  No swap needed
  Compare -4 and -73
  Swap -4 and -73
  List after swap: [-94, -73, -4, 59, -3, 36, -1, 50, 13]
  Compare -4 and 59
  No swap needed
  Compare 59 and -3
  Swap 59 and -3
  List after swap: [-94, -73, -4, -3, 59, 36, -1, 50, 13]
  Compare 59 and 36
  Swap 59 and 36
  List after swap: [-94, -73, -4, -3, 36, 59, -1, 50, 13]
  Compare 59 and -1
  Swap 59 and -1
  List after swap: [-94, -73, -4, -3, 36, -1, 59, 50, 13]
  Compare 59 and 50
  Swap 59 and 50
  List after swap: [-94, -73, -4, -3, 36, -1, 50, 59, 13]
  Compare 59 and 13
  Swap 59 and 13
  List after swap: [-94, -73, -4, -3, 36, -1, 50, 13, 59]

Pass 2:
  Compare -94 and -73
  No swap needed
  Compare -73 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and 36
  No swap needed
  Compare 36 and -1
  Swap 36 and -1
  List after swap: [-94, -73, -4, -3, -1, 36, 50, 13, 59]
  Compare 36 and 50
  No swap needed
  Compare 50 and 13
  Swap 50 and 13
  List after swap: [-94, -73, -4, -3, -1, 36, 13, 50, 59]

Pass 3:
  Compare -94 and -73
  No swap needed
  Compare -73 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -1
  No swap needed
  Compare -1 and 36
  No swap needed
  Compare 36 and 13
  Swap 36 and 13
  List after swap: [-94, -73, -4, -3, -1, 13, 36, 50, 59]

Pass 4:
  Compare -94 and -73
  No swap needed
  Compare -73 and -4
  No swap needed
  Compare -4 and -3
  No swap needed
  Compare -3 and -1
  No swap needed
  Compare -1 and 13
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -73, -4, -3, -1, 13, 36, 50, 59]
</think>

<response>-94, -73, -4, -3, -1, 13, 36, 50, 59</response>


input: Sort these integers 38, 2, 60, 70 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [38, 2, 60, 70]

Pass 1:
  Compare 38 and 2
  Swap 38 and 2
  List after swap: [2, 38, 60, 70]
  Compare 38 and 60
  No swap needed
  Compare 60 and 70
  No swap needed

Pass 2:
  Compare 2 and 38
  No swap needed
  Compare 38 and 60
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [2, 38, 60, 70]
</think>

<response>2, 38, 60, 70</response>


input: Execute bubble sort to sort 7, -6, 72, 10 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [7, -6, 72, 10]

Pass 1:
  Compare 7 and -6
  Swap 7 and -6
  List after swap: [-6, 7, 72, 10]
  Compare 7 and 72
  No swap needed
  Compare 72 and 10
  Swap 72 and 10
  List after swap: [-6, 7, 10, 72]

Pass 2:
  Compare -6 and 7
  No swap needed
  Compare 7 and 10
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-6, 7, 10, 72]
</think>

<response>-6, 7, 10, 72</response>


input: Demonstrate how bubble sort orders the integers 71, 42, 96, 18, -15, 33, -91, -57, -80, 89 in ascending sequence, showing all steps.

output:
<think>
Initial list: [71, 42, 96, 18, -15, 33, -91, -57, -80, 89]

Pass 1:
  Compare 71 and 42
  Swap 71 and 42
  List after swap: [42, 71, 96, 18, -15, 33, -91, -57, -80, 89]
  Compare 71 and 96
  No swap needed
  Compare 96 and 18
  Swap 96 and 18
  List after swap: [42, 71, 18, 96, -15, 33, -91, -57, -80, 89]
  Compare 96 and -15
  Swap 96 and -15
  List after swap: [42, 71, 18, -15, 96, 33, -91, -57, -80, 89]
  Compare 96 and 33
  Swap 96 and 33
  List after swap: [42, 71, 18, -15, 33, 96, -91, -57, -80, 89]
  Compare 96 and -91
  Swap 96 and -91
  List after swap: [42, 71, 18, -15, 33, -91, 96, -57, -80, 89]
  Compare 96 and -57
  Swap 96 and -57
  List after swap: [42, 71, 18, -15, 33, -91, -57, 96, -80, 89]
  Compare 96 and -80
  Swap 96 and -80
  List after swap: [42, 71, 18, -15, 33, -91, -57, -80, 96, 89]
  Compare 96 and 89
  Swap 96 and 89
  List after swap: [42, 71, 18, -15, 33, -91, -57, -80, 89, 96]

Pass 2:
  Compare 42 and 71
  No swap needed
  Compare 71 and 18
  Swap 71 and 18
  List after swap: [42, 18, 71, -15, 33, -91, -57, -80, 89, 96]
  Compare 71 and -15
  Swap 71 and -15
  List after swap: [42, 18, -15, 71, 33, -91, -57, -80, 89, 96]
  Compare 71 and 33
  Swap 71 and 33
  List after swap: [42, 18, -15, 33, 71, -91, -57, -80, 89, 96]
  Compare 71 and -91
  Swap 71 and -91
  List after swap: [42, 18, -15, 33, -91, 71, -57, -80, 89, 96]
  Compare 71 and -57
  Swap 71 and -57
  List after swap: [42, 18, -15, 33, -91, -57, 71, -80, 89, 96]
  Compare 71 and -80
  Swap 71 and -80
  List after swap: [42, 18, -15, 33, -91, -57, -80, 71, 89, 96]
  Compare 71 and 89
  No swap needed

Pass 3:
  Compare 42 and 18
  Swap 42 and 18
  List after swap: [18, 42, -15, 33, -91, -57, -80, 71, 89, 96]
  Compare 42 and -15
  Swap 42 and -15
  List after swap: [18, -15, 42, 33, -91, -57, -80, 71, 89, 96]
  Compare 42 and 33
  Swap 42 and 33
  List after swap: [18, -15, 33, 42, -91, -57, -80, 71, 89, 96]
  Compare 42 and -91
  Swap 42 and -91
  List after swap: [18, -15, 33, -91, 42, -57, -80, 71, 89, 96]
  Compare 42 and -57
  Swap 42 and -57
  List after swap: [18, -15, 33, -91, -57, 42, -80, 71, 89, 96]
  Compare 42 and -80
  Swap 42 and -80
  List after swap: [18, -15, 33, -91, -57, -80, 42, 71, 89, 96]
  Compare 42 and 71
  No swap needed

Pass 4:
  Compare 18 and -15
  Swap 18 and -15
  List after swap: [-15, 18, 33, -91, -57, -80, 42, 71, 89, 96]
  Compare 18 and 33
  No swap needed
  Compare 33 and -91
  Swap 33 and -91
  List after swap: [-15, 18, -91, 33, -57, -80, 42, 71, 89, 96]
  Compare 33 and -57
  Swap 33 and -57
  List after swap: [-15, 18, -91, -57, 33, -80, 42, 71, 89, 96]
  Compare 33 and -80
  Swap 33 and -80
  List after swap: [-15, 18, -91, -57, -80, 33, 42, 71, 89, 96]
  Compare 33 and 42
  No swap needed

Pass 5:
  Compare -15 and 18
  No swap needed
  Compare 18 and -91
  Swap 18 and -91
  List after swap: [-15, -91, 18, -57, -80, 33, 42, 71, 89, 96]
  Compare 18 and -57
  Swap 18 and -57
  List after swap: [-15, -91, -57, 18, -80, 33, 42, 71, 89, 96]
  Compare 18 and -80
  Swap 18 and -80
  List after swap: [-15, -91, -57, -80, 18, 33, 42, 71, 89, 96]
  Compare 18 and 33
  No swap needed

Pass 6:
  Compare -15 and -91
  Swap -15 and -91
  List after swap: [-91, -15, -57, -80, 18, 33, 42, 71, 89, 96]
  Compare -15 and -57
  Swap -15 and -57
  List after swap: [-91, -57, -15, -80, 18, 33, 42, 71, 89, 96]
  Compare -15 and -80
  Swap -15 and -80
  List after swap: [-91, -57, -80, -15, 18, 33, 42, 71, 89, 96]
  Compare -15 and 18
  No swap needed

Pass 7:
  Compare -91 and -57
  No swap needed
  Compare -57 and -80
  Swap -57 and -80
  List after swap: [-91, -80, -57, -15, 18, 33, 42, 71, 89, 96]
  Compare -57 and -15
  No swap needed

Pass 8:
  Compare -91 and -80
  No swap needed
  Compare -80 and -57
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-91, -80, -57, -15, 18, 33, 42, 71, 89, 96]
</think>

<response>-91, -80, -57, -15, 18, 33, 42, 71, 89, 96</response>


input: Use the bubble sort technique to reorder -4, -40, 2, -14, -80, 22 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-4, -40, 2, -14, -80, 22]

Pass 1:
  Compare -4 and -40
  Swap -4 and -40
  List after swap: [-40, -4, 2, -14, -80, 22]
  Compare -4 and 2
  No swap needed
  Compare 2 and -14
  Swap 2 and -14
  List after swap: [-40, -4, -14, 2, -80, 22]
  Compare 2 and -80
  Swap 2 and -80
  List after swap: [-40, -4, -14, -80, 2, 22]
  Compare 2 and 22
  No swap needed

Pass 2:
  Compare -40 and -4
  No swap needed
  Compare -4 and -14
  Swap -4 and -14
  List after swap: [-40, -14, -4, -80, 2, 22]
  Compare -4 and -80
  Swap -4 and -80
  List after swap: [-40, -14, -80, -4, 2, 22]
  Compare -4 and 2
  No swap needed

Pass 3:
  Compare -40 and -14
  No swap needed
  Compare -14 and -80
  Swap -14 and -80
  List after swap: [-40, -80, -14, -4, 2, 22]
  Compare -14 and -4
  No swap needed

Pass 4:
  Compare -40 and -80
  Swap -40 and -80
  List after swap: [-80, -40, -14, -4, 2, 22]
  Compare -40 and -14
  No swap needed

Pass 5:
  Compare -80 and -40
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-80, -40, -14, -4, 2, 22]
</think>

<response>-80, -40, -14, -4, 2, 22</response>


input: Demonstrate how bubble sort orders the integers -11, -76, 50, 87, 14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-11, -76, 50, 87, 14]

Pass 1:
  Compare -11 and -76
  Swap -11 and -76
  List after swap: [-76, -11, 50, 87, 14]
  Compare -11 and 50
  No swap needed
  Compare 50 and 87
  No swap needed
  Compare 87 and 14
  Swap 87 and 14
  List after swap: [-76, -11, 50, 14, 87]

Pass 2:
  Compare -76 and -11
  No swap needed
  Compare -11 and 50
  No swap needed
  Compare 50 and 14
  Swap 50 and 14
  List after swap: [-76, -11, 14, 50, 87]

Pass 3:
  Compare -76 and -11
  No swap needed
  Compare -11 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -11, 14, 50, 87]
</think>

<response>-76, -11, 14, 50, 87</response>


input: Use the bubble sort technique to reorder -31, 33, -30, 15, 9, -29, 45, -6, 85 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [-31, 33, -30, 15, 9, -29, 45, -6, 85]

Pass 1:
  Compare -31 and 33
  No swap needed
  Compare 33 and -30
  Swap 33 and -30
  List after swap: [-31, -30, 33, 15, 9, -29, 45, -6, 85]
  Compare 33 and 15
  Swap 33 and 15
  List after swap: [-31, -30, 15, 33, 9, -29, 45, -6, 85]
  Compare 33 and 9
  Swap 33 and 9
  List after swap: [-31, -30, 15, 9, 33, -29, 45, -6, 85]
  Compare 33 and -29
  Swap 33 and -29
  List after swap: [-31, -30, 15, 9, -29, 33, 45, -6, 85]
  Compare 33 and 45
  No swap needed
  Compare 45 and -6
  Swap 45 and -6
  List after swap: [-31, -30, 15, 9, -29, 33, -6, 45, 85]
  Compare 45 and 85
  No swap needed

Pass 2:
  Compare -31 and -30
  No swap needed
  Compare -30 and 15
  No swap needed
  Compare 15 and 9
  Swap 15 and 9
  List after swap: [-31, -30, 9, 15, -29, 33, -6, 45, 85]
  Compare 15 and -29
  Swap 15 and -29
  List after swap: [-31, -30, 9, -29, 15, 33, -6, 45, 85]
  Compare 15 and 33
  No swap needed
  Compare 33 and -6
  Swap 33 and -6
  List after swap: [-31, -30, 9, -29, 15, -6, 33, 45, 85]
  Compare 33 and 45
  No swap needed

Pass 3:
  Compare -31 and -30
  No swap needed
  Compare -30 and 9
  No swap needed
  Compare 9 and -29
  Swap 9 and -29
  List after swap: [-31, -30, -29, 9, 15, -6, 33, 45, 85]
  Compare 9 and 15
  No swap needed
  Compare 15 and -6
  Swap 15 and -6
  List after swap: [-31, -30, -29, 9, -6, 15, 33, 45, 85]
  Compare 15 and 33
  No swap needed

Pass 4:
  Compare -31 and -30
  No swap needed
  Compare -30 and -29
  No swap needed
  Compare -29 and 9
  No swap needed
  Compare 9 and -6
  Swap 9 and -6
  List after swap: [-31, -30, -29, -6, 9, 15, 33, 45, 85]
  Compare 9 and 15
  No swap needed

Pass 5:
  Compare -31 and -30
  No swap needed
  Compare -30 and -29
  No swap needed
  Compare -29 and -6
  No swap needed
  Compare -6 and 9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-31, -30, -29, -6, 9, 15, 33, 45, 85]
</think>

<response>-31, -30, -29, -6, 9, 15, 33, 45, 85</response>


input: Sort the list 33, 92, -99, -45, 12, 25 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [33, 92, -99, -45, 12, 25]

Pass 1:
  Compare 33 and 92
  No swap needed
  Compare 92 and -99
  Swap 92 and -99
  List after swap: [33, -99, 92, -45, 12, 25]
  Compare 92 and -45
  Swap 92 and -45
  List after swap: [33, -99, -45, 92, 12, 25]
  Compare 92 and 12
  Swap 92 and 12
  List after swap: [33, -99, -45, 12, 92, 25]
  Compare 92 and 25
  Swap 92 and 25
  List after swap: [33, -99, -45, 12, 25, 92]

Pass 2:
  Compare 33 and -99
  Swap 33 and -99
  List after swap: [-99, 33, -45, 12, 25, 92]
  Compare 33 and -45
  Swap 33 and -45
  List after swap: [-99, -45, 33, 12, 25, 92]
  Compare 33 and 12
  Swap 33 and 12
  List after swap: [-99, -45, 12, 33, 25, 92]
  Compare 33 and 25
  Swap 33 and 25
  List after swap: [-99, -45, 12, 25, 33, 92]

Pass 3:
  Compare -99 and -45
  No swap needed
  Compare -45 and 12
  No swap needed
  Compare 12 and 25
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -45, 12, 25, 33, 92]
</think>

<response>-99, -45, 12, 25, 33, 92</response>


input: Using the bubble sort method, sort -30, 86 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-30, 86]

Pass 1:
  Compare -30 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-30, 86]
</think>

<response>-30, 86</response>


input: Perform a bubble sort on the integers 53, -6, 91, -100, -28, -7, -51, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [53, -6, 91, -100, -28, -7, -51]

Pass 1:
  Compare 53 and -6
  Swap 53 and -6
  List after swap: [-6, 53, 91, -100, -28, -7, -51]
  Compare 53 and 91
  No swap needed
  Compare 91 and -100
  Swap 91 and -100
  List after swap: [-6, 53, -100, 91, -28, -7, -51]
  Compare 91 and -28
  Swap 91 and -28
  List after swap: [-6, 53, -100, -28, 91, -7, -51]
  Compare 91 and -7
  Swap 91 and -7
  List after swap: [-6, 53, -100, -28, -7, 91, -51]
  Compare 91 and -51
  Swap 91 and -51
  List after swap: [-6, 53, -100, -28, -7, -51, 91]

Pass 2:
  Compare -6 and 53
  No swap needed
  Compare 53 and -100
  Swap 53 and -100
  List after swap: [-6, -100, 53, -28, -7, -51, 91]
  Compare 53 and -28
  Swap 53 and -28
  List after swap: [-6, -100, -28, 53, -7, -51, 91]
  Compare 53 and -7
  Swap 53 and -7
  List after swap: [-6, -100, -28, -7, 53, -51, 91]
  Compare 53 and -51
  Swap 53 and -51
  List after swap: [-6, -100, -28, -7, -51, 53, 91]

Pass 3:
  Compare -6 and -100
  Swap -6 and -100
  List after swap: [-100, -6, -28, -7, -51, 53, 91]
  Compare -6 and -28
  Swap -6 and -28
  List after swap: [-100, -28, -6, -7, -51, 53, 91]
  Compare -6 and -7
  Swap -6 and -7
  List after swap: [-100, -28, -7, -6, -51, 53, 91]
  Compare -6 and -51
  Swap -6 and -51
  List after swap: [-100, -28, -7, -51, -6, 53, 91]

Pass 4:
  Compare -100 and -28
  No swap needed
  Compare -28 and -7
  No swap needed
  Compare -7 and -51
  Swap -7 and -51
  List after swap: [-100, -28, -51, -7, -6, 53, 91]

Pass 5:
  Compare -100 and -28
  No swap needed
  Compare -28 and -51
  Swap -28 and -51
  List after swap: [-100, -51, -28, -7, -6, 53, 91]

Pass 6:
  Compare -100 and -51
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-100, -51, -28, -7, -6, 53, 91]
</think>

<response>-100, -51, -28, -7, -6, 53, 91</response>


input: Implement bubble sort on -13, 68, 23, -92, 44, -21, 17, 52 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-13, 68, 23, -92, 44, -21, 17, 52]

Pass 1:
  Compare -13 and 68
  No swap needed
  Compare 68 and 23
  Swap 68 and 23
  List after swap: [-13, 23, 68, -92, 44, -21, 17, 52]
  Compare 68 and -92
  Swap 68 and -92
  List after swap: [-13, 23, -92, 68, 44, -21, 17, 52]
  Compare 68 and 44
  Swap 68 and 44
  List after swap: [-13, 23, -92, 44, 68, -21, 17, 52]
  Compare 68 and -21
  Swap 68 and -21
  List after swap: [-13, 23, -92, 44, -21, 68, 17, 52]
  Compare 68 and 17
  Swap 68 and 17
  List after swap: [-13, 23, -92, 44, -21, 17, 68, 52]
  Compare 68 and 52
  Swap 68 and 52
  List after swap: [-13, 23, -92, 44, -21, 17, 52, 68]

Pass 2:
  Compare -13 and 23
  No swap needed
  Compare 23 and -92
  Swap 23 and -92
  List after swap: [-13, -92, 23, 44, -21, 17, 52, 68]
  Compare 23 and 44
  No swap needed
  Compare 44 and -21
  Swap 44 and -21
  List after swap: [-13, -92, 23, -21, 44, 17, 52, 68]
  Compare 44 and 17
  Swap 44 and 17
  List after swap: [-13, -92, 23, -21, 17, 44, 52, 68]
  Compare 44 and 52
  No swap needed

Pass 3:
  Compare -13 and -92
  Swap -13 and -92
  List after swap: [-92, -13, 23, -21, 17, 44, 52, 68]
  Compare -13 and 23
  No swap needed
  Compare 23 and -21
  Swap 23 and -21
  List after swap: [-92, -13, -21, 23, 17, 44, 52, 68]
  Compare 23 and 17
  Swap 23 and 17
  List after swap: [-92, -13, -21, 17, 23, 44, 52, 68]
  Compare 23 and 44
  No swap needed

Pass 4:
  Compare -92 and -13
  No swap needed
  Compare -13 and -21
  Swap -13 and -21
  List after swap: [-92, -21, -13, 17, 23, 44, 52, 68]
  Compare -13 and 17
  No swap needed
  Compare 17 and 23
  No swap needed

Pass 5:
  Compare -92 and -21
  No swap needed
  Compare -21 and -13
  No swap needed
  Compare -13 and 17
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -21, -13, 17, 23, 44, 52, 68]
</think>

<response>-92, -21, -13, 17, 23, 44, 52, 68</response>


input: Perform a bubble sort on the integers 43, -82, -65, 68, -75, -77, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [43, -82, -65, 68, -75, -77]

Pass 1:
  Compare 43 and -82
  Swap 43 and -82
  List after swap: [-82, 43, -65, 68, -75, -77]
  Compare 43 and -65
  Swap 43 and -65
  List after swap: [-82, -65, 43, 68, -75, -77]
  Compare 43 and 68
  No swap needed
  Compare 68 and -75
  Swap 68 and -75
  List after swap: [-82, -65, 43, -75, 68, -77]
  Compare 68 and -77
  Swap 68 and -77
  List after swap: [-82, -65, 43, -75, -77, 68]

Pass 2:
  Compare -82 and -65
  No swap needed
  Compare -65 and 43
  No swap needed
  Compare 43 and -75
  Swap 43 and -75
  List after swap: [-82, -65, -75, 43, -77, 68]
  Compare 43 and -77
  Swap 43 and -77
  List after swap: [-82, -65, -75, -77, 43, 68]

Pass 3:
  Compare -82 and -65
  No swap needed
  Compare -65 and -75
  Swap -65 and -75
  List after swap: [-82, -75, -65, -77, 43, 68]
  Compare -65 and -77
  Swap -65 and -77
  List after swap: [-82, -75, -77, -65, 43, 68]

Pass 4:
  Compare -82 and -75
  No swap needed
  Compare -75 and -77
  Swap -75 and -77
  List after swap: [-82, -77, -75, -65, 43, 68]

Pass 5:
  Compare -82 and -77
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, -77, -75, -65, 43, 68]
</think>

<response>-82, -77, -75, -65, 43, 68</response>


input: Demonstrate how bubble sort orders the integers -66, 13, 28 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-66, 13, 28]

Pass 1:
  Compare -66 and 13
  No swap needed
  Compare 13 and 28
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-66, 13, 28]
</think>

<response>-66, 13, 28</response>


input: Sort the list 45, -18, -47, 29, 61, -69 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [45, -18, -47, 29, 61, -69]

Pass 1:
  Compare 45 and -18
  Swap 45 and -18
  List after swap: [-18, 45, -47, 29, 61, -69]
  Compare 45 and -47
  Swap 45 and -47
  List after swap: [-18, -47, 45, 29, 61, -69]
  Compare 45 and 29
  Swap 45 and 29
  List after swap: [-18, -47, 29, 45, 61, -69]
  Compare 45 and 61
  No swap needed
  Compare 61 and -69
  Swap 61 and -69
  List after swap: [-18, -47, 29, 45, -69, 61]

Pass 2:
  Compare -18 and -47
  Swap -18 and -47
  List after swap: [-47, -18, 29, 45, -69, 61]
  Compare -18 and 29
  No swap needed
  Compare 29 and 45
  No swap needed
  Compare 45 and -69
  Swap 45 and -69
  List after swap: [-47, -18, 29, -69, 45, 61]

Pass 3:
  Compare -47 and -18
  No swap needed
  Compare -18 and 29
  No swap needed
  Compare 29 and -69
  Swap 29 and -69
  List after swap: [-47, -18, -69, 29, 45, 61]

Pass 4:
  Compare -47 and -18
  No swap needed
  Compare -18 and -69
  Swap -18 and -69
  List after swap: [-47, -69, -18, 29, 45, 61]

Pass 5:
  Compare -47 and -69
  Swap -47 and -69
  List after swap: [-69, -47, -18, 29, 45, 61]

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

Final sorted list: [-69, -47, -18, 29, 45, 61]
</think>

<response>-69, -47, -18, 29, 45, 61</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 87, -60, -66, -38, -99, 11, -90, 5, 45, 33.

output:
<think>
Initial list: [87, -60, -66, -38, -99, 11, -90, 5, 45, 33]

Pass 1:
  Compare 87 and -60
  Swap 87 and -60
  List after swap: [-60, 87, -66, -38, -99, 11, -90, 5, 45, 33]
  Compare 87 and -66
  Swap 87 and -66
  List after swap: [-60, -66, 87, -38, -99, 11, -90, 5, 45, 33]
  Compare 87 and -38
  Swap 87 and -38
  List after swap: [-60, -66, -38, 87, -99, 11, -90, 5, 45, 33]
  Compare 87 and -99
  Swap 87 and -99
  List after swap: [-60, -66, -38, -99, 87, 11, -90, 5, 45, 33]
  Compare 87 and 11
  Swap 87 and 11
  List after swap: [-60, -66, -38, -99, 11, 87, -90, 5, 45, 33]
  Compare 87 and -90
  Swap 87 and -90
  List after swap: [-60, -66, -38, -99, 11, -90, 87, 5, 45, 33]
  Compare 87 and 5
  Swap 87 and 5
  List after swap: [-60, -66, -38, -99, 11, -90, 5, 87, 45, 33]
  Compare 87 and 45
  Swap 87 and 45
  List after swap: [-60, -66, -38, -99, 11, -90, 5, 45, 87, 33]
  Compare 87 and 33
  Swap 87 and 33
  List after swap: [-60, -66, -38, -99, 11, -90, 5, 45, 33, 87]

Pass 2:
  Compare -60 and -66
  Swap -60 and -66
  List after swap: [-66, -60, -38, -99, 11, -90, 5, 45, 33, 87]
  Compare -60 and -38
  No swap needed
  Compare -38 and -99
  Swap -38 and -99
  List after swap: [-66, -60, -99, -38, 11, -90, 5, 45, 33, 87]
  Compare -38 and 11
  No swap needed
  Compare 11 and -90
  Swap 11 and -90
  List after swap: [-66, -60, -99, -38, -90, 11, 5, 45, 33, 87]
  Compare 11 and 5
  Swap 11 and 5
  List after swap: [-66, -60, -99, -38, -90, 5, 11, 45, 33, 87]
  Compare 11 and 45
  No swap needed
  Compare 45 and 33
  Swap 45 and 33
  List after swap: [-66, -60, -99, -38, -90, 5, 11, 33, 45, 87]

Pass 3:
  Compare -66 and -60
  No swap needed
  Compare -60 and -99
  Swap -60 and -99
  List after swap: [-66, -99, -60, -38, -90, 5, 11, 33, 45, 87]
  Compare -60 and -38
  No swap needed
  Compare -38 and -90
  Swap -38 and -90
  List after swap: [-66, -99, -60, -90, -38, 5, 11, 33, 45, 87]
  Compare -38 and 5
  No swap needed
  Compare 5 and 11
  No swap needed
  Compare 11 and 33
  No swap needed

Pass 4:
  Compare -66 and -99
  Swap -66 and -99
  List after swap: [-99, -66, -60, -90, -38, 5, 11, 33, 45, 87]
  Compare -66 and -60
  No swap needed
  Compare -60 and -90
  Swap -60 and -90
  List after swap: [-99, -66, -90, -60, -38, 5, 11, 33, 45, 87]
  Compare -60 and -38
  No swap needed
  Compare -38 and 5
  No swap needed
  Compare 5 and 11
  No swap needed

Pass 5:
  Compare -99 and -66
  No swap needed
  Compare -66 and -90
  Swap -66 and -90
  List after swap: [-99, -90, -66, -60, -38, 5, 11, 33, 45, 87]
  Compare -66 and -60
  No swap needed
  Compare -60 and -38
  No swap needed
  Compare -38 and 5
  No swap needed

Pass 6:
  Compare -99 and -90
  No swap needed
  Compare -90 and -66
  No swap needed
  Compare -66 and -60
  No swap needed
  Compare -60 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -90, -66, -60, -38, 5, 11, 33, 45, 87]
</think>

<response>-99, -90, -66, -60, -38, 5, 11, 33, 45, 87</response>


input: Execute bubble sort to sort -68, 1, -6, -82 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-68, 1, -6, -82]

Pass 1:
  Compare -68 and 1
  No swap needed
  Compare 1 and -6
  Swap 1 and -6
  List after swap: [-68, -6, 1, -82]
  Compare 1 and -82
  Swap 1 and -82
  List after swap: [-68, -6, -82, 1]

Pass 2:
  Compare -68 and -6
  No swap needed
  Compare -6 and -82
  Swap -6 and -82
  List after swap: [-68, -82, -6, 1]

Pass 3:
  Compare -68 and -82
  Swap -68 and -82
  List after swap: [-82, -68, -6, 1]

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

Final sorted list: [-82, -68, -6, 1]
</think>

<response>-82, -68, -6, 1</response>


input: Sort the list -59, 43, -36, -51, 0, -25, -81, 93 from smallest to largest using bubble sort, and show every stage of the process.

output:
<think>
Initial list: [-59, 43, -36, -51, 0, -25, -81, 93]

Pass 1:
  Compare -59 and 43
  No swap needed
  Compare 43 and -36
  Swap 43 and -36
  List after swap: [-59, -36, 43, -51, 0, -25, -81, 93]
  Compare 43 and -51
  Swap 43 and -51
  List after swap: [-59, -36, -51, 43, 0, -25, -81, 93]
  Compare 43 and 0
  Swap 43 and 0
  List after swap: [-59, -36, -51, 0, 43, -25, -81, 93]
  Compare 43 and -25
  Swap 43 and -25
  List after swap: [-59, -36, -51, 0, -25, 43, -81, 93]
  Compare 43 and -81
  Swap 43 and -81
  List after swap: [-59, -36, -51, 0, -25, -81, 43, 93]
  Compare 43 and 93
  No swap needed

Pass 2:
  Compare -59 and -36
  No swap needed
  Compare -36 and -51
  Swap -36 and -51
  List after swap: [-59, -51, -36, 0, -25, -81, 43, 93]
  Compare -36 and 0
  No swap needed
  Compare 0 and -25
  Swap 0 and -25
  List after swap: [-59, -51, -36, -25, 0, -81, 43, 93]
  Compare 0 and -81
  Swap 0 and -81
  List after swap: [-59, -51, -36, -25, -81, 0, 43, 93]
  Compare 0 and 43
  No swap needed

Pass 3:
  Compare -59 and -51
  No swap needed
  Compare -51 and -36
  No swap needed
  Compare -36 and -25
  No swap needed
  Compare -25 and -81
  Swap -25 and -81
  List after swap: [-59, -51, -36, -81, -25, 0, 43, 93]
  Compare -25 and 0
  No swap needed

Pass 4:
  Compare -59 and -51
  No swap needed
  Compare -51 and -36
  No swap needed
  Compare -36 and -81
  Swap -36 and -81
  List after swap: [-59, -51, -81, -36, -25, 0, 43, 93]
  Compare -36 and -25
  No swap needed

Pass 5:
  Compare -59 and -51
  No swap needed
  Compare -51 and -81
  Swap -51 and -81
  List after swap: [-59, -81, -51, -36, -25, 0, 43, 93]
  Compare -51 and -36
  No swap needed

Pass 6:
  Compare -59 and -81
  Swap -59 and -81
  List after swap: [-81, -59, -51, -36, -25, 0, 43, 93]
  Compare -59 and -51
  No swap needed

Pass 7:
  Compare -81 and -59
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-81, -59, -51, -36, -25, 0, 43, 93]
</think>

<response>-81, -59, -51, -36, -25, 0, 43, 93</response>


input: Carry out the bubble sort algorithm on -63, -31 to arrange them from smallest to largest, documenting each step.

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

Pass 1:
  Compare -63 and -31
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-63, -31</response>


input: Implement bubble sort on -59, -63, 92, -93, -49, 96, 33 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [-59, -63, 92, -93, -49, 96, 33]

Pass 1:
  Compare -59 and -63
  Swap -59 and -63
  List after swap: [-63, -59, 92, -93, -49, 96, 33]
  Compare -59 and 92
  No swap needed
  Compare 92 and -93
  Swap 92 and -93
  List after swap: [-63, -59, -93, 92, -49, 96, 33]
  Compare 92 and -49
  Swap 92 and -49
  List after swap: [-63, -59, -93, -49, 92, 96, 33]
  Compare 92 and 96
  No swap needed
  Compare 96 and 33
  Swap 96 and 33
  List after swap: [-63, -59, -93, -49, 92, 33, 96]

Pass 2:
  Compare -63 and -59
  No swap needed
  Compare -59 and -93
  Swap -59 and -93
  List after swap: [-63, -93, -59, -49, 92, 33, 96]
  Compare -59 and -49
  No swap needed
  Compare -49 and 92
  No swap needed
  Compare 92 and 33
  Swap 92 and 33
  List after swap: [-63, -93, -59, -49, 33, 92, 96]

Pass 3:
  Compare -63 and -93
  Swap -63 and -93
  List after swap: [-93, -63, -59, -49, 33, 92, 96]
  Compare -63 and -59
  No swap needed
  Compare -59 and -49
  No swap needed
  Compare -49 and 33
  No swap needed

Pass 4:
  Compare -93 and -63
  No swap needed
  Compare -63 and -59
  No swap needed
  Compare -59 and -49
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -63, -59, -49, 33, 92, 96]
</think>

<response>-93, -63, -59, -49, 33, 92, 96</response>


input: Perform a bubble sort on the integers -27, 56, 24, 34, 10, -74, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-27, 56, 24, 34, 10, -74]

Pass 1:
  Compare -27 and 56
  No swap needed
  Compare 56 and 24
  Swap 56 and 24
  List after swap: [-27, 24, 56, 34, 10, -74]
  Compare 56 and 34
  Swap 56 and 34
  List after swap: [-27, 24, 34, 56, 10, -74]
  Compare 56 and 10
  Swap 56 and 10
  List after swap: [-27, 24, 34, 10, 56, -74]
  Compare 56 and -74
  Swap 56 and -74
  List after swap: [-27, 24, 34, 10, -74, 56]

Pass 2:
  Compare -27 and 24
  No swap needed
  Compare 24 and 34
  No swap needed
  Compare 34 and 10
  Swap 34 and 10
  List after swap: [-27, 24, 10, 34, -74, 56]
  Compare 34 and -74
  Swap 34 and -74
  List after swap: [-27, 24, 10, -74, 34, 56]

Pass 3:
  Compare -27 and 24
  No swap needed
  Compare 24 and 10
  Swap 24 and 10
  List after swap: [-27, 10, 24, -74, 34, 56]
  Compare 24 and -74
  Swap 24 and -74
  List after swap: [-27, 10, -74, 24, 34, 56]

Pass 4:
  Compare -27 and 10
  No swap needed
  Compare 10 and -74
  Swap 10 and -74
  List after swap: [-27, -74, 10, 24, 34, 56]

Pass 5:
  Compare -27 and -74
  Swap -27 and -74
  List after swap: [-74, -27, 10, 24, 34, 56]

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

Final sorted list: [-74, -27, 10, 24, 34, 56]
</think>

<response>-74, -27, 10, 24, 34, 56</response>


input: Using the bubble sort method, sort 87, -15, 34, -76, -48, -43 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [87, -15, 34, -76, -48, -43]

Pass 1:
  Compare 87 and -15
  Swap 87 and -15
  List after swap: [-15, 87, 34, -76, -48, -43]
  Compare 87 and 34
  Swap 87 and 34
  List after swap: [-15, 34, 87, -76, -48, -43]
  Compare 87 and -76
  Swap 87 and -76
  List after swap: [-15, 34, -76, 87, -48, -43]
  Compare 87 and -48
  Swap 87 and -48
  List after swap: [-15, 34, -76, -48, 87, -43]
  Compare 87 and -43
  Swap 87 and -43
  List after swap: [-15, 34, -76, -48, -43, 87]

Pass 2:
  Compare -15 and 34
  No swap needed
  Compare 34 and -76
  Swap 34 and -76
  List after swap: [-15, -76, 34, -48, -43, 87]
  Compare 34 and -48
  Swap 34 and -48
  List after swap: [-15, -76, -48, 34, -43, 87]
  Compare 34 and -43
  Swap 34 and -43
  List after swap: [-15, -76, -48, -43, 34, 87]

Pass 3:
  Compare -15 and -76
  Swap -15 and -76
  List after swap: [-76, -15, -48, -43, 34, 87]
  Compare -15 and -48
  Swap -15 and -48
  List after swap: [-76, -48, -15, -43, 34, 87]
  Compare -15 and -43
  Swap -15 and -43
  List after swap: [-76, -48, -43, -15, 34, 87]

Pass 4:
  Compare -76 and -48
  No swap needed
  Compare -48 and -43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-76, -48, -43, -15, 34, 87]
</think>

<response>-76, -48, -43, -15, 34, 87</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: -25, -16, 37, -3.

output:
<think>
Initial list: [-25, -16, 37, -3]

Pass 1:
  Compare -25 and -16
  No swap needed
  Compare -16 and 37
  No swap needed
  Compare 37 and -3
  Swap 37 and -3
  List after swap: [-25, -16, -3, 37]

Pass 2:
  Compare -25 and -16
  No swap needed
  Compare -16 and -3
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-25, -16, -3, 37]
</think>

<response>-25, -16, -3, 37</response>


input: Arrange the numbers -56, 38, 39 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [-56, 38, 39]

Pass 1:
  Compare -56 and 38
  No swap needed
  Compare 38 and 39
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-56, 38, 39]
</think>

<response>-56, 38, 39</response>


input: Demonstrate how bubble sort orders the integers -77, -68, -50, 14 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-77, -68, -50, 14]

Pass 1:
  Compare -77 and -68
  No swap needed
  Compare -68 and -50
  No swap needed
  Compare -50 and 14
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-77, -68, -50, 14]
</think>

<response>-77, -68, -50, 14</response>


input: Use the bubble sort technique to reorder 62, -44, 72, -67, 92, -70, -68 into ascending order, and write down each step of the procedure.

output:
<think>
Initial list: [62, -44, 72, -67, 92, -70, -68]

Pass 1:
  Compare 62 and -44
  Swap 62 and -44
  List after swap: [-44, 62, 72, -67, 92, -70, -68]
  Compare 62 and 72
  No swap needed
  Compare 72 and -67
  Swap 72 and -67
  List after swap: [-44, 62, -67, 72, 92, -70, -68]
  Compare 72 and 92
  No swap needed
  Compare 92 and -70
  Swap 92 and -70
  List after swap: [-44, 62, -67, 72, -70, 92, -68]
  Compare 92 and -68
  Swap 92 and -68
  List after swap: [-44, 62, -67, 72, -70, -68, 92]

Pass 2:
  Compare -44 and 62
  No swap needed
  Compare 62 and -67
  Swap 62 and -67
  List after swap: [-44, -67, 62, 72, -70, -68, 92]
  Compare 62 and 72
  No swap needed
  Compare 72 and -70
  Swap 72 and -70
  List after swap: [-44, -67, 62, -70, 72, -68, 92]
  Compare 72 and -68
  Swap 72 and -68
  List after swap: [-44, -67, 62, -70, -68, 72, 92]

Pass 3:
  Compare -44 and -67
  Swap -44 and -67
  List after swap: [-67, -44, 62, -70, -68, 72, 92]
  Compare -44 and 62
  No swap needed
  Compare 62 and -70
  Swap 62 and -70
  List after swap: [-67, -44, -70, 62, -68, 72, 92]
  Compare 62 and -68
  Swap 62 and -68
  List after swap: [-67, -44, -70, -68, 62, 72, 92]

Pass 4:
  Compare -67 and -44
  No swap needed
  Compare -44 and -70
  Swap -44 and -70
  List after swap: [-67, -70, -44, -68, 62, 72, 92]
  Compare -44 and -68
  Swap -44 and -68
  List after swap: [-67, -70, -68, -44, 62, 72, 92]

Pass 5:
  Compare -67 and -70
  Swap -67 and -70
  List after swap: [-70, -67, -68, -44, 62, 72, 92]
  Compare -67 and -68
  Swap -67 and -68
  List after swap: [-70, -68, -67, -44, 62, 72, 92]

Pass 6:
  Compare -70 and -68
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-70, -68, -67, -44, 62, 72, 92]
</think>

<response>-70, -68, -67, -44, 62, 72, 92</response>


input: Sort these integers 8, -50, -7, 65 in ascending order with bubble sort, clearly listing every step involved.

output:
<think>
Initial list: [8, -50, -7, 65]

Pass 1:
  Compare 8 and -50
  Swap 8 and -50
  List after swap: [-50, 8, -7, 65]
  Compare 8 and -7
  Swap 8 and -7
  List after swap: [-50, -7, 8, 65]
  Compare 8 and 65
  No swap needed

Pass 2:
  Compare -50 and -7
  No swap needed
  Compare -7 and 8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-50, -7, 8, 65]
</think>

<response>-50, -7, 8, 65</response>


input: Apply the bubble sort algorithm to arrange the following integers in ascending order, documenting each step: -94, -23, -21, -36, 64, -15, -61, -22, 13, -90.

output:
<think>
Initial list: [-94, -23, -21, -36, 64, -15, -61, -22, 13, -90]

Pass 1:
  Compare -94 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and -36
  Swap -21 and -36
  List after swap: [-94, -23, -36, -21, 64, -15, -61, -22, 13, -90]
  Compare -21 and 64
  No swap needed
  Compare 64 and -15
  Swap 64 and -15
  List after swap: [-94, -23, -36, -21, -15, 64, -61, -22, 13, -90]
  Compare 64 and -61
  Swap 64 and -61
  List after swap: [-94, -23, -36, -21, -15, -61, 64, -22, 13, -90]
  Compare 64 and -22
  Swap 64 and -22
  List after swap: [-94, -23, -36, -21, -15, -61, -22, 64, 13, -90]
  Compare 64 and 13
  Swap 64 and 13
  List after swap: [-94, -23, -36, -21, -15, -61, -22, 13, 64, -90]
  Compare 64 and -90
  Swap 64 and -90
  List after swap: [-94, -23, -36, -21, -15, -61, -22, 13, -90, 64]

Pass 2:
  Compare -94 and -23
  No swap needed
  Compare -23 and -36
  Swap -23 and -36
  List after swap: [-94, -36, -23, -21, -15, -61, -22, 13, -90, 64]
  Compare -23 and -21
  No swap needed
  Compare -21 and -15
  No swap needed
  Compare -15 and -61
  Swap -15 and -61
  List after swap: [-94, -36, -23, -21, -61, -15, -22, 13, -90, 64]
  Compare -15 and -22
  Swap -15 and -22
  List after swap: [-94, -36, -23, -21, -61, -22, -15, 13, -90, 64]
  Compare -15 and 13
  No swap needed
  Compare 13 and -90
  Swap 13 and -90
  List after swap: [-94, -36, -23, -21, -61, -22, -15, -90, 13, 64]

Pass 3:
  Compare -94 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -21
  No swap needed
  Compare -21 and -61
  Swap -21 and -61
  List after swap: [-94, -36, -23, -61, -21, -22, -15, -90, 13, 64]
  Compare -21 and -22
  Swap -21 and -22
  List after swap: [-94, -36, -23, -61, -22, -21, -15, -90, 13, 64]
  Compare -21 and -15
  No swap needed
  Compare -15 and -90
  Swap -15 and -90
  List after swap: [-94, -36, -23, -61, -22, -21, -90, -15, 13, 64]

Pass 4:
  Compare -94 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -61
  Swap -23 and -61
  List after swap: [-94, -36, -61, -23, -22, -21, -90, -15, 13, 64]
  Compare -23 and -22
  No swap needed
  Compare -22 and -21
  No swap needed
  Compare -21 and -90
  Swap -21 and -90
  List after swap: [-94, -36, -61, -23, -22, -90, -21, -15, 13, 64]

Pass 5:
  Compare -94 and -36
  No swap needed
  Compare -36 and -61
  Swap -36 and -61
  List after swap: [-94, -61, -36, -23, -22, -90, -21, -15, 13, 64]
  Compare -36 and -23
  No swap needed
  Compare -23 and -22
  No swap needed
  Compare -22 and -90
  Swap -22 and -90
  List after swap: [-94, -61, -36, -23, -90, -22, -21, -15, 13, 64]

Pass 6:
  Compare -94 and -61
  No swap needed
  Compare -61 and -36
  No swap needed
  Compare -36 and -23
  No swap needed
  Compare -23 and -90
  Swap -23 and -90
  List after swap: [-94, -61, -36, -90, -23, -22, -21, -15, 13, 64]

Pass 7:
  Compare -94 and -61
  No swap needed
  Compare -61 and -36
  No swap needed
  Compare -36 and -90
  Swap -36 and -90
  List after swap: [-94, -61, -90, -36, -23, -22, -21, -15, 13, 64]

Pass 8:
  Compare -94 and -61
  No swap needed
  Compare -61 and -90
  Swap -61 and -90
  List after swap: [-94, -90, -61, -36, -23, -22, -21, -15, 13, 64]

Pass 9:
  Compare -94 and -90
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -90, -61, -36, -23, -22, -21, -15, 13, 64]
</think>

<response>-94, -90, -61, -36, -23, -22, -21, -15, 13, 64</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 98, -92, 43, -31, 53.

output:
<think>
Initial list: [98, -92, 43, -31, 53]

Pass 1:
  Compare 98 and -92
  Swap 98 and -92
  List after swap: [-92, 98, 43, -31, 53]
  Compare 98 and 43
  Swap 98 and 43
  List after swap: [-92, 43, 98, -31, 53]
  Compare 98 and -31
  Swap 98 and -31
  List after swap: [-92, 43, -31, 98, 53]
  Compare 98 and 53
  Swap 98 and 53
  List after swap: [-92, 43, -31, 53, 98]

Pass 2:
  Compare -92 and 43
  No swap needed
  Compare 43 and -31
  Swap 43 and -31
  List after swap: [-92, -31, 43, 53, 98]
  Compare 43 and 53
  No swap needed

Pass 3:
  Compare -92 and -31
  No swap needed
  Compare -31 and 43
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-92, -31, 43, 53, 98]
</think>

<response>-92, -31, 43, 53, 98</response>


input: Arrange the numbers 0, 69, 65, 26, 57, -59, 90 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [0, 69, 65, 26, 57, -59, 90]

Pass 1:
  Compare 0 and 69
  No swap needed
  Compare 69 and 65
  Swap 69 and 65
  List after swap: [0, 65, 69, 26, 57, -59, 90]
  Compare 69 and 26
  Swap 69 and 26
  List after swap: [0, 65, 26, 69, 57, -59, 90]
  Compare 69 and 57
  Swap 69 and 57
  List after swap: [0, 65, 26, 57, 69, -59, 90]
  Compare 69 and -59
  Swap 69 and -59
  List after swap: [0, 65, 26, 57, -59, 69, 90]
  Compare 69 and 90
  No swap needed

Pass 2:
  Compare 0 and 65
  No swap needed
  Compare 65 and 26
  Swap 65 and 26
  List after swap: [0, 26, 65, 57, -59, 69, 90]
  Compare 65 and 57
  Swap 65 and 57
  List after swap: [0, 26, 57, 65, -59, 69, 90]
  Compare 65 and -59
  Swap 65 and -59
  List after swap: [0, 26, 57, -59, 65, 69, 90]
  Compare 65 and 69
  No swap needed

Pass 3:
  Compare 0 and 26
  No swap needed
  Compare 26 and 57
  No swap needed
  Compare 57 and -59
  Swap 57 and -59
  List after swap: [0, 26, -59, 57, 65, 69, 90]
  Compare 57 and 65
  No swap needed

Pass 4:
  Compare 0 and 26
  No swap needed
  Compare 26 and -59
  Swap 26 and -59
  List after swap: [0, -59, 26, 57, 65, 69, 90]
  Compare 26 and 57
  No swap needed

Pass 5:
  Compare 0 and -59
  Swap 0 and -59
  List after swap: [-59, 0, 26, 57, 65, 69, 90]
  Compare 0 and 26
  No swap needed

Pass 6:
  Compare -59 and 0
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-59, 0, 26, 57, 65, 69, 90]
</think>

<response>-59, 0, 26, 57, 65, 69, 90</response>


input: Using the bubble sort method, sort 97, 87, 1, 26, -82, 3 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [97, 87, 1, 26, -82, 3]

Pass 1:
  Compare 97 and 87
  Swap 97 and 87
  List after swap: [87, 97, 1, 26, -82, 3]
  Compare 97 and 1
  Swap 97 and 1
  List after swap: [87, 1, 97, 26, -82, 3]
  Compare 97 and 26
  Swap 97 and 26
  List after swap: [87, 1, 26, 97, -82, 3]
  Compare 97 and -82
  Swap 97 and -82
  List after swap: [87, 1, 26, -82, 97, 3]
  Compare 97 and 3
  Swap 97 and 3
  List after swap: [87, 1, 26, -82, 3, 97]

Pass 2:
  Compare 87 and 1
  Swap 87 and 1
  List after swap: [1, 87, 26, -82, 3, 97]
  Compare 87 and 26
  Swap 87 and 26
  List after swap: [1, 26, 87, -82, 3, 97]
  Compare 87 and -82
  Swap 87 and -82
  List after swap: [1, 26, -82, 87, 3, 97]
  Compare 87 and 3
  Swap 87 and 3
  List after swap: [1, 26, -82, 3, 87, 97]

Pass 3:
  Compare 1 and 26
  No swap needed
  Compare 26 and -82
  Swap 26 and -82
  List after swap: [1, -82, 26, 3, 87, 97]
  Compare 26 and 3
  Swap 26 and 3
  List after swap: [1, -82, 3, 26, 87, 97]

Pass 4:
  Compare 1 and -82
  Swap 1 and -82
  List after swap: [-82, 1, 3, 26, 87, 97]
  Compare 1 and 3
  No swap needed

Pass 5:
  Compare -82 and 1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-82, 1, 3, 26, 87, 97]
</think>

<response>-82, 1, 3, 26, 87, 97</response>


input: Execute bubble sort to sort -64, -90, 85, -12, 43, -37 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-64, -90, 85, -12, 43, -37]

Pass 1:
  Compare -64 and -90
  Swap -64 and -90
  List after swap: [-90, -64, 85, -12, 43, -37]
  Compare -64 and 85
  No swap needed
  Compare 85 and -12
  Swap 85 and -12
  List after swap: [-90, -64, -12, 85, 43, -37]
  Compare 85 and 43
  Swap 85 and 43
  List after swap: [-90, -64, -12, 43, 85, -37]
  Compare 85 and -37
  Swap 85 and -37
  List after swap: [-90, -64, -12, 43, -37, 85]

Pass 2:
  Compare -90 and -64
  No swap needed
  Compare -64 and -12
  No swap needed
  Compare -12 and 43
  No swap needed
  Compare 43 and -37
  Swap 43 and -37
  List after swap: [-90, -64, -12, -37, 43, 85]

Pass 3:
  Compare -90 and -64
  No swap needed
  Compare -64 and -12
  No swap needed
  Compare -12 and -37
  Swap -12 and -37
  List after swap: [-90, -64, -37, -12, 43, 85]

Pass 4:
  Compare -90 and -64
  No swap needed
  Compare -64 and -37
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-90, -64, -37, -12, 43, 85]
</think>

<response>-90, -64, -37, -12, 43, 85</response>


input: Implement bubble sort on 99, -5, -93, 14, -75, -35, 64 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [99, -5, -93, 14, -75, -35, 64]

Pass 1:
  Compare 99 and -5
  Swap 99 and -5
  List after swap: [-5, 99, -93, 14, -75, -35, 64]
  Compare 99 and -93
  Swap 99 and -93
  List after swap: [-5, -93, 99, 14, -75, -35, 64]
  Compare 99 and 14
  Swap 99 and 14
  List after swap: [-5, -93, 14, 99, -75, -35, 64]
  Compare 99 and -75
  Swap 99 and -75
  List after swap: [-5, -93, 14, -75, 99, -35, 64]
  Compare 99 and -35
  Swap 99 and -35
  List after swap: [-5, -93, 14, -75, -35, 99, 64]
  Compare 99 and 64
  Swap 99 and 64
  List after swap: [-5, -93, 14, -75, -35, 64, 99]

Pass 2:
  Compare -5 and -93
  Swap -5 and -93
  List after swap: [-93, -5, 14, -75, -35, 64, 99]
  Compare -5 and 14
  No swap needed
  Compare 14 and -75
  Swap 14 and -75
  List after swap: [-93, -5, -75, 14, -35, 64, 99]
  Compare 14 and -35
  Swap 14 and -35
  List after swap: [-93, -5, -75, -35, 14, 64, 99]
  Compare 14 and 64
  No swap needed

Pass 3:
  Compare -93 and -5
  No swap needed
  Compare -5 and -75
  Swap -5 and -75
  List after swap: [-93, -75, -5, -35, 14, 64, 99]
  Compare -5 and -35
  Swap -5 and -35
  List after swap: [-93, -75, -35, -5, 14, 64, 99]
  Compare -5 and 14
  No swap needed

Pass 4:
  Compare -93 and -75
  No swap needed
  Compare -75 and -35
  No swap needed
  Compare -35 and -5
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-93, -75, -35, -5, 14, 64, 99]
</think>

<response>-93, -75, -35, -5, 14, 64, 99</response>


input: Perform a bubble sort on the integers -84, 97, 65, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-84, 97, 65]

Pass 1:
  Compare -84 and 97
  No swap needed
  Compare 97 and 65
  Swap 97 and 65
  List after swap: [-84, 65, 97]

Pass 2:
  Compare -84 and 65
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-84, 65, 97]
</think>

<response>-84, 65, 97</response>


input: Perform a bubble sort on the integers 47, -39, -67, 15, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [47, -39, -67, 15, 86]

Pass 1:
  Compare 47 and -39
  Swap 47 and -39
  List after swap: [-39, 47, -67, 15, 86]
  Compare 47 and -67
  Swap 47 and -67
  List after swap: [-39, -67, 47, 15, 86]
  Compare 47 and 15
  Swap 47 and 15
  List after swap: [-39, -67, 15, 47, 86]
  Compare 47 and 86
  No swap needed

Pass 2:
  Compare -39 and -67
  Swap -39 and -67
  List after swap: [-67, -39, 15, 47, 86]
  Compare -39 and 15
  No swap needed
  Compare 15 and 47
  No swap needed

Pass 3:
  Compare -67 and -39
  No swap needed
  Compare -39 and 15
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-67, -39, 15, 47, 86]
</think>

<response>-67, -39, 15, 47, 86</response>


input: Execute bubble sort to sort -28, -41, 38, 59, -97, 18, 34, -45, 42 in increasing order and detail each phase of the sorting process.

output:
<think>
Initial list: [-28, -41, 38, 59, -97, 18, 34, -45, 42]

Pass 1:
  Compare -28 and -41
  Swap -28 and -41
  List after swap: [-41, -28, 38, 59, -97, 18, 34, -45, 42]
  Compare -28 and 38
  No swap needed
  Compare 38 and 59
  No swap needed
  Compare 59 and -97
  Swap 59 and -97
  List after swap: [-41, -28, 38, -97, 59, 18, 34, -45, 42]
  Compare 59 and 18
  Swap 59 and 18
  List after swap: [-41, -28, 38, -97, 18, 59, 34, -45, 42]
  Compare 59 and 34
  Swap 59 and 34
  List after swap: [-41, -28, 38, -97, 18, 34, 59, -45, 42]
  Compare 59 and -45
  Swap 59 and -45
  List after swap: [-41, -28, 38, -97, 18, 34, -45, 59, 42]
  Compare 59 and 42
  Swap 59 and 42
  List after swap: [-41, -28, 38, -97, 18, 34, -45, 42, 59]

Pass 2:
  Compare -41 and -28
  No swap needed
  Compare -28 and 38
  No swap needed
  Compare 38 and -97
  Swap 38 and -97
  List after swap: [-41, -28, -97, 38, 18, 34, -45, 42, 59]
  Compare 38 and 18
  Swap 38 and 18
  List after swap: [-41, -28, -97, 18, 38, 34, -45, 42, 59]
  Compare 38 and 34
  Swap 38 and 34
  List after swap: [-41, -28, -97, 18, 34, 38, -45, 42, 59]
  Compare 38 and -45
  Swap 38 and -45
  List after swap: [-41, -28, -97, 18, 34, -45, 38, 42, 59]
  Compare 38 and 42
  No swap needed

Pass 3:
  Compare -41 and -28
  No swap needed
  Compare -28 and -97
  Swap -28 and -97
  List after swap: [-41, -97, -28, 18, 34, -45, 38, 42, 59]
  Compare -28 and 18
  No swap needed
  Compare 18 and 34
  No swap needed
  Compare 34 and -45
  Swap 34 and -45
  List after swap: [-41, -97, -28, 18, -45, 34, 38, 42, 59]
  Compare 34 and 38
  No swap needed

Pass 4:
  Compare -41 and -97
  Swap -41 and -97
  List after swap: [-97, -41, -28, 18, -45, 34, 38, 42, 59]
  Compare -41 and -28
  No swap needed
  Compare -28 and 18
  No swap needed
  Compare 18 and -45
  Swap 18 and -45
  List after swap: [-97, -41, -28, -45, 18, 34, 38, 42, 59]
  Compare 18 and 34
  No swap needed

Pass 5:
  Compare -97 and -41
  No swap needed
  Compare -41 and -28
  No swap needed
  Compare -28 and -45
  Swap -28 and -45
  List after swap: [-97, -41, -45, -28, 18, 34, 38, 42, 59]
  Compare -28 and 18
  No swap needed

Pass 6:
  Compare -97 and -41
  No swap needed
  Compare -41 and -45
  Swap -41 and -45
  List after swap: [-97, -45, -41, -28, 18, 34, 38, 42, 59]
  Compare -41 and -28
  No swap needed

Pass 7:
  Compare -97 and -45
  No swap needed
  Compare -45 and -41
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-97, -45, -41, -28, 18, 34, 38, 42, 59]
</think>

<response>-97, -45, -41, -28, 18, 34, 38, 42, 59</response>


input: Arrange the numbers 11, 47, 46, 59, -1 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [11, 47, 46, 59, -1]

Pass 1:
  Compare 11 and 47
  No swap needed
  Compare 47 and 46
  Swap 47 and 46
  List after swap: [11, 46, 47, 59, -1]
  Compare 47 and 59
  No swap needed
  Compare 59 and -1
  Swap 59 and -1
  List after swap: [11, 46, 47, -1, 59]

Pass 2:
  Compare 11 and 46
  No swap needed
  Compare 46 and 47
  No swap needed
  Compare 47 and -1
  Swap 47 and -1
  List after swap: [11, 46, -1, 47, 59]

Pass 3:
  Compare 11 and 46
  No swap needed
  Compare 46 and -1
  Swap 46 and -1
  List after swap: [11, -1, 46, 47, 59]

Pass 4:
  Compare 11 and -1
  Swap 11 and -1
  List after swap: [-1, 11, 46, 47, 59]

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

Final sorted list: [-1, 11, 46, 47, 59]
</think>

<response>-1, 11, 46, 47, 59</response>


input: Using the bubble sort method, sort 10, -11, -16, -17, -31, -19, -62 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [10, -11, -16, -17, -31, -19, -62]

Pass 1:
  Compare 10 and -11
  Swap 10 and -11
  List after swap: [-11, 10, -16, -17, -31, -19, -62]
  Compare 10 and -16
  Swap 10 and -16
  List after swap: [-11, -16, 10, -17, -31, -19, -62]
  Compare 10 and -17
  Swap 10 and -17
  List after swap: [-11, -16, -17, 10, -31, -19, -62]
  Compare 10 and -31
  Swap 10 and -31
  List after swap: [-11, -16, -17, -31, 10, -19, -62]
  Compare 10 and -19
  Swap 10 and -19
  List after swap: [-11, -16, -17, -31, -19, 10, -62]
  Compare 10 and -62
  Swap 10 and -62
  List after swap: [-11, -16, -17, -31, -19, -62, 10]

Pass 2:
  Compare -11 and -16
  Swap -11 and -16
  List after swap: [-16, -11, -17, -31, -19, -62, 10]
  Compare -11 and -17
  Swap -11 and -17
  List after swap: [-16, -17, -11, -31, -19, -62, 10]
  Compare -11 and -31
  Swap -11 and -31
  List after swap: [-16, -17, -31, -11, -19, -62, 10]
  Compare -11 and -19
  Swap -11 and -19
  List after swap: [-16, -17, -31, -19, -11, -62, 10]
  Compare -11 and -62
  Swap -11 and -62
  List after swap: [-16, -17, -31, -19, -62, -11, 10]

Pass 3:
  Compare -16 and -17
  Swap -16 and -17
  List after swap: [-17, -16, -31, -19, -62, -11, 10]
  Compare -16 and -31
  Swap -16 and -31
  List after swap: [-17, -31, -16, -19, -62, -11, 10]
  Compare -16 and -19
  Swap -16 and -19
  List after swap: [-17, -31, -19, -16, -62, -11, 10]
  Compare -16 and -62
  Swap -16 and -62
  List after swap: [-17, -31, -19, -62, -16, -11, 10]

Pass 4:
  Compare -17 and -31
  Swap -17 and -31
  List after swap: [-31, -17, -19, -62, -16, -11, 10]
  Compare -17 and -19
  Swap -17 and -19
  List after swap: [-31, -19, -17, -62, -16, -11, 10]
  Compare -17 and -62
  Swap -17 and -62
  List after swap: [-31, -19, -62, -17, -16, -11, 10]

Pass 5:
  Compare -31 and -19
  No swap needed
  Compare -19 and -62
  Swap -19 and -62
  List after swap: [-31, -62, -19, -17, -16, -11, 10]

Pass 6:
  Compare -31 and -62
  Swap -31 and -62
  List after swap: [-62, -31, -19, -17, -16, -11, 10]

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

Final sorted list: [-62, -31, -19, -17, -16, -11, 10]
</think>

<response>-62, -31, -19, -17, -16, -11, 10</response>


input: Perform a bubble sort on the integers -65, 51, 86, arranging them in ascending order and outlining every step.

output:
<think>
Initial list: [-65, 51, 86]

Pass 1:
  Compare -65 and 51
  No swap needed
  Compare 51 and 86
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, 51, 86]
</think>

<response>-65, 51, 86</response>


input: Arrange the numbers 93, -33, -96, -18 in ascending order by applying bubble sort, and display each intermediate step.

output:
<think>
Initial list: [93, -33, -96, -18]

Pass 1:
  Compare 93 and -33
  Swap 93 and -33
  List after swap: [-33, 93, -96, -18]
  Compare 93 and -96
  Swap 93 and -96
  List after swap: [-33, -96, 93, -18]
  Compare 93 and -18
  Swap 93 and -18
  List after swap: [-33, -96, -18, 93]

Pass 2:
  Compare -33 and -96
  Swap -33 and -96
  List after swap: [-96, -33, -18, 93]
  Compare -33 and -18
  No swap needed

Pass 3:
  Compare -96 and -33
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-96, -33, -18, 93]
</think>

<response>-96, -33, -18, 93</response>


input: Using the bubble sort method, sort -79, 79, 77, 23, -71, -4, -99, 13, -38, -29 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-79, 79, 77, 23, -71, -4, -99, 13, -38, -29]

Pass 1:
  Compare -79 and 79
  No swap needed
  Compare 79 and 77
  Swap 79 and 77
  List after swap: [-79, 77, 79, 23, -71, -4, -99, 13, -38, -29]
  Compare 79 and 23
  Swap 79 and 23
  List after swap: [-79, 77, 23, 79, -71, -4, -99, 13, -38, -29]
  Compare 79 and -71
  Swap 79 and -71
  List after swap: [-79, 77, 23, -71, 79, -4, -99, 13, -38, -29]
  Compare 79 and -4
  Swap 79 and -4
  List after swap: [-79, 77, 23, -71, -4, 79, -99, 13, -38, -29]
  Compare 79 and -99
  Swap 79 and -99
  List after swap: [-79, 77, 23, -71, -4, -99, 79, 13, -38, -29]
  Compare 79 and 13
  Swap 79 and 13
  List after swap: [-79, 77, 23, -71, -4, -99, 13, 79, -38, -29]
  Compare 79 and -38
  Swap 79 and -38
  List after swap: [-79, 77, 23, -71, -4, -99, 13, -38, 79, -29]
  Compare 79 and -29
  Swap 79 and -29
  List after swap: [-79, 77, 23, -71, -4, -99, 13, -38, -29, 79]

Pass 2:
  Compare -79 and 77
  No swap needed
  Compare 77 and 23
  Swap 77 and 23
  List after swap: [-79, 23, 77, -71, -4, -99, 13, -38, -29, 79]
  Compare 77 and -71
  Swap 77 and -71
  List after swap: [-79, 23, -71, 77, -4, -99, 13, -38, -29, 79]
  Compare 77 and -4
  Swap 77 and -4
  List after swap: [-79, 23, -71, -4, 77, -99, 13, -38, -29, 79]
  Compare 77 and -99
  Swap 77 and -99
  List after swap: [-79, 23, -71, -4, -99, 77, 13, -38, -29, 79]
  Compare 77 and 13
  Swap 77 and 13
  List after swap: [-79, 23, -71, -4, -99, 13, 77, -38, -29, 79]
  Compare 77 and -38
  Swap 77 and -38
  List after swap: [-79, 23, -71, -4, -99, 13, -38, 77, -29, 79]
  Compare 77 and -29
  Swap 77 and -29
  List after swap: [-79, 23, -71, -4, -99, 13, -38, -29, 77, 79]

Pass 3:
  Compare -79 and 23
  No swap needed
  Compare 23 and -71
  Swap 23 and -71
  List after swap: [-79, -71, 23, -4, -99, 13, -38, -29, 77, 79]
  Compare 23 and -4
  Swap 23 and -4
  List after swap: [-79, -71, -4, 23, -99, 13, -38, -29, 77, 79]
  Compare 23 and -99
  Swap 23 and -99
  List after swap: [-79, -71, -4, -99, 23, 13, -38, -29, 77, 79]
  Compare 23 and 13
  Swap 23 and 13
  List after swap: [-79, -71, -4, -99, 13, 23, -38, -29, 77, 79]
  Compare 23 and -38
  Swap 23 and -38
  List after swap: [-79, -71, -4, -99, 13, -38, 23, -29, 77, 79]
  Compare 23 and -29
  Swap 23 and -29
  List after swap: [-79, -71, -4, -99, 13, -38, -29, 23, 77, 79]

Pass 4:
  Compare -79 and -71
  No swap needed
  Compare -71 and -4
  No swap needed
  Compare -4 and -99
  Swap -4 and -99
  List after swap: [-79, -71, -99, -4, 13, -38, -29, 23, 77, 79]
  Compare -4 and 13
  No swap needed
  Compare 13 and -38
  Swap 13 and -38
  List after swap: [-79, -71, -99, -4, -38, 13, -29, 23, 77, 79]
  Compare 13 and -29
  Swap 13 and -29
  List after swap: [-79, -71, -99, -4, -38, -29, 13, 23, 77, 79]

Pass 5:
  Compare -79 and -71
  No swap needed
  Compare -71 and -99
  Swap -71 and -99
  List after swap: [-79, -99, -71, -4, -38, -29, 13, 23, 77, 79]
  Compare -71 and -4
  No swap needed
  Compare -4 and -38
  Swap -4 and -38
  List after swap: [-79, -99, -71, -38, -4, -29, 13, 23, 77, 79]
  Compare -4 and -29
  Swap -4 and -29
  List after swap: [-79, -99, -71, -38, -29, -4, 13, 23, 77, 79]

Pass 6:
  Compare -79 and -99
  Swap -79 and -99
  List after swap: [-99, -79, -71, -38, -29, -4, 13, 23, 77, 79]
  Compare -79 and -71
  No swap needed
  Compare -71 and -38
  No swap needed
  Compare -38 and -29
  No swap needed

Pass 7:
  Compare -99 and -79
  No swap needed
  Compare -79 and -71
  No swap needed
  Compare -71 and -38
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-99, -79, -71, -38, -29, -4, 13, 23, 77, 79]
</think>

<response>-99, -79, -71, -38, -29, -4, 13, 23, 77, 79</response>


input: Demonstrate how bubble sort orders the integers -72, 66, 55, -66, 18, -8 in ascending sequence, showing all steps.

output:
<think>
Initial list: [-72, 66, 55, -66, 18, -8]

Pass 1:
  Compare -72 and 66
  No swap needed
  Compare 66 and 55
  Swap 66 and 55
  List after swap: [-72, 55, 66, -66, 18, -8]
  Compare 66 and -66
  Swap 66 and -66
  List after swap: [-72, 55, -66, 66, 18, -8]
  Compare 66 and 18
  Swap 66 and 18
  List after swap: [-72, 55, -66, 18, 66, -8]
  Compare 66 and -8
  Swap 66 and -8
  List after swap: [-72, 55, -66, 18, -8, 66]

Pass 2:
  Compare -72 and 55
  No swap needed
  Compare 55 and -66
  Swap 55 and -66
  List after swap: [-72, -66, 55, 18, -8, 66]
  Compare 55 and 18
  Swap 55 and 18
  List after swap: [-72, -66, 18, 55, -8, 66]
  Compare 55 and -8
  Swap 55 and -8
  List after swap: [-72, -66, 18, -8, 55, 66]

Pass 3:
  Compare -72 and -66
  No swap needed
  Compare -66 and 18
  No swap needed
  Compare 18 and -8
  Swap 18 and -8
  List after swap: [-72, -66, -8, 18, 55, 66]

Pass 4:
  Compare -72 and -66
  No swap needed
  Compare -66 and -8
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-72, -66, -8, 18, 55, 66]
</think>

<response>-72, -66, -8, 18, 55, 66</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 36, -8, -94, -6, -9, -45, 70.

output:
<think>
Initial list: [36, -8, -94, -6, -9, -45, 70]

Pass 1:
  Compare 36 and -8
  Swap 36 and -8
  List after swap: [-8, 36, -94, -6, -9, -45, 70]
  Compare 36 and -94
  Swap 36 and -94
  List after swap: [-8, -94, 36, -6, -9, -45, 70]
  Compare 36 and -6
  Swap 36 and -6
  List after swap: [-8, -94, -6, 36, -9, -45, 70]
  Compare 36 and -9
  Swap 36 and -9
  List after swap: [-8, -94, -6, -9, 36, -45, 70]
  Compare 36 and -45
  Swap 36 and -45
  List after swap: [-8, -94, -6, -9, -45, 36, 70]
  Compare 36 and 70
  No swap needed

Pass 2:
  Compare -8 and -94
  Swap -8 and -94
  List after swap: [-94, -8, -6, -9, -45, 36, 70]
  Compare -8 and -6
  No swap needed
  Compare -6 and -9
  Swap -6 and -9
  List after swap: [-94, -8, -9, -6, -45, 36, 70]
  Compare -6 and -45
  Swap -6 and -45
  List after swap: [-94, -8, -9, -45, -6, 36, 70]
  Compare -6 and 36
  No swap needed

Pass 3:
  Compare -94 and -8
  No swap needed
  Compare -8 and -9
  Swap -8 and -9
  List after swap: [-94, -9, -8, -45, -6, 36, 70]
  Compare -8 and -45
  Swap -8 and -45
  List after swap: [-94, -9, -45, -8, -6, 36, 70]
  Compare -8 and -6
  No swap needed

Pass 4:
  Compare -94 and -9
  No swap needed
  Compare -9 and -45
  Swap -9 and -45
  List after swap: [-94, -45, -9, -8, -6, 36, 70]
  Compare -9 and -8
  No swap needed

Pass 5:
  Compare -94 and -45
  No swap needed
  Compare -45 and -9
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-94, -45, -9, -8, -6, 36, 70]
</think>

<response>-94, -45, -9, -8, -6, 36, 70</response>


input: Carry out the bubble sort algorithm on -80, -41, 98, 27, -73, 15, 69, -86, -7 to arrange them from smallest to largest, documenting each step.

output:
<think>
Initial list: [-80, -41, 98, 27, -73, 15, 69, -86, -7]

Pass 1:
  Compare -80 and -41
  No swap needed
  Compare -41 and 98
  No swap needed
  Compare 98 and 27
  Swap 98 and 27
  List after swap: [-80, -41, 27, 98, -73, 15, 69, -86, -7]
  Compare 98 and -73
  Swap 98 and -73
  List after swap: [-80, -41, 27, -73, 98, 15, 69, -86, -7]
  Compare 98 and 15
  Swap 98 and 15
  List after swap: [-80, -41, 27, -73, 15, 98, 69, -86, -7]
  Compare 98 and 69
  Swap 98 and 69
  List after swap: [-80, -41, 27, -73, 15, 69, 98, -86, -7]
  Compare 98 and -86
  Swap 98 and -86
  List after swap: [-80, -41, 27, -73, 15, 69, -86, 98, -7]
  Compare 98 and -7
  Swap 98 and -7
  List after swap: [-80, -41, 27, -73, 15, 69, -86, -7, 98]

Pass 2:
  Compare -80 and -41
  No swap needed
  Compare -41 and 27
  No swap needed
  Compare 27 and -73
  Swap 27 and -73
  List after swap: [-80, -41, -73, 27, 15, 69, -86, -7, 98]
  Compare 27 and 15
  Swap 27 and 15
  List after swap: [-80, -41, -73, 15, 27, 69, -86, -7, 98]
  Compare 27 and 69
  No swap needed
  Compare 69 and -86
  Swap 69 and -86
  List after swap: [-80, -41, -73, 15, 27, -86, 69, -7, 98]
  Compare 69 and -7
  Swap 69 and -7
  List after swap: [-80, -41, -73, 15, 27, -86, -7, 69, 98]

Pass 3:
  Compare -80 and -41
  No swap needed
  Compare -41 and -73
  Swap -41 and -73
  List after swap: [-80, -73, -41, 15, 27, -86, -7, 69, 98]
  Compare -41 and 15
  No swap needed
  Compare 15 and 27
  No swap needed
  Compare 27 and -86
  Swap 27 and -86
  List after swap: [-80, -73, -41, 15, -86, 27, -7, 69, 98]
  Compare 27 and -7
  Swap 27 and -7
  List after swap: [-80, -73, -41, 15, -86, -7, 27, 69, 98]

Pass 4:
  Compare -80 and -73
  No swap needed
  Compare -73 and -41
  No swap needed
  Compare -41 and 15
  No swap needed
  Compare 15 and -86
  Swap 15 and -86
  List after swap: [-80, -73, -41, -86, 15, -7, 27, 69, 98]
  Compare 15 and -7
  Swap 15 and -7
  List after swap: [-80, -73, -41, -86, -7, 15, 27, 69, 98]

Pass 5:
  Compare -80 and -73
  No swap needed
  Compare -73 and -41
  No swap needed
  Compare -41 and -86
  Swap -41 and -86
  List after swap: [-80, -73, -86, -41, -7, 15, 27, 69, 98]
  Compare -41 and -7
  No swap needed

Pass 6:
  Compare -80 and -73
  No swap needed
  Compare -73 and -86
  Swap -73 and -86
  List after swap: [-80, -86, -73, -41, -7, 15, 27, 69, 98]
  Compare -73 and -41
  No swap needed

Pass 7:
  Compare -80 and -86
  Swap -80 and -86
  List after swap: [-86, -80, -73, -41, -7, 15, 27, 69, 98]
  Compare -80 and -73
  No swap needed

Pass 8:
  Compare -86 and -80
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-86, -80, -73, -41, -7, 15, 27, 69, 98]
</think>

<response>-86, -80, -73, -41, -7, 15, 27, 69, 98</response>


input: Using the bubble sort method, sort 67, -18, -1, -11, -2, 99, 49, 89, -81 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [67, -18, -1, -11, -2, 99, 49, 89, -81]

Pass 1:
  Compare 67 and -18
  Swap 67 and -18
  List after swap: [-18, 67, -1, -11, -2, 99, 49, 89, -81]
  Compare 67 and -1
  Swap 67 and -1
  List after swap: [-18, -1, 67, -11, -2, 99, 49, 89, -81]
  Compare 67 and -11
  Swap 67 and -11
  List after swap: [-18, -1, -11, 67, -2, 99, 49, 89, -81]
  Compare 67 and -2
  Swap 67 and -2
  List after swap: [-18, -1, -11, -2, 67, 99, 49, 89, -81]
  Compare 67 and 99
  No swap needed
  Compare 99 and 49
  Swap 99 and 49
  List after swap: [-18, -1, -11, -2, 67, 49, 99, 89, -81]
  Compare 99 and 89
  Swap 99 and 89
  List after swap: [-18, -1, -11, -2, 67, 49, 89, 99, -81]
  Compare 99 and -81
  Swap 99 and -81
  List after swap: [-18, -1, -11, -2, 67, 49, 89, -81, 99]

Pass 2:
  Compare -18 and -1
  No swap needed
  Compare -1 and -11
  Swap -1 and -11
  List after swap: [-18, -11, -1, -2, 67, 49, 89, -81, 99]
  Compare -1 and -2
  Swap -1 and -2
  List after swap: [-18, -11, -2, -1, 67, 49, 89, -81, 99]
  Compare -1 and 67
  No swap needed
  Compare 67 and 49
  Swap 67 and 49
  List after swap: [-18, -11, -2, -1, 49, 67, 89, -81, 99]
  Compare 67 and 89
  No swap needed
  Compare 89 and -81
  Swap 89 and -81
  List after swap: [-18, -11, -2, -1, 49, 67, -81, 89, 99]

Pass 3:
  Compare -18 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -1
  No swap needed
  Compare -1 and 49
  No swap needed
  Compare 49 and 67
  No swap needed
  Compare 67 and -81
  Swap 67 and -81
  List after swap: [-18, -11, -2, -1, 49, -81, 67, 89, 99]

Pass 4:
  Compare -18 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -1
  No swap needed
  Compare -1 and 49
  No swap needed
  Compare 49 and -81
  Swap 49 and -81
  List after swap: [-18, -11, -2, -1, -81, 49, 67, 89, 99]

Pass 5:
  Compare -18 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -1
  No swap needed
  Compare -1 and -81
  Swap -1 and -81
  List after swap: [-18, -11, -2, -81, -1, 49, 67, 89, 99]

Pass 6:
  Compare -18 and -11
  No swap needed
  Compare -11 and -2
  No swap needed
  Compare -2 and -81
  Swap -2 and -81
  List after swap: [-18, -11, -81, -2, -1, 49, 67, 89, 99]

Pass 7:
  Compare -18 and -11
  No swap needed
  Compare -11 and -81
  Swap -11 and -81
  List after swap: [-18, -81, -11, -2, -1, 49, 67, 89, 99]

Pass 8:
  Compare -18 and -81
  Swap -18 and -81
  List after swap: [-81, -18, -11, -2, -1, 49, 67, 89, 99]

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

Final sorted list: [-81, -18, -11, -2, -1, 49, 67, 89, 99]
</think>

<response>-81, -18, -11, -2, -1, 49, 67, 89, 99</response>


input: Sort the list -49, 33 from smallest to largest using bubble sort, and show every stage of the process.

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

Pass 1:
  Compare -49 and 33
  No swap needed
  No swaps in this pass, list is sorted.

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

<response>-49, 33</response>


input: Implement bubble sort on 41, 1, -39 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [41, 1, -39]

Pass 1:
  Compare 41 and 1
  Swap 41 and 1
  List after swap: [1, 41, -39]
  Compare 41 and -39
  Swap 41 and -39
  List after swap: [1, -39, 41]

Pass 2:
  Compare 1 and -39
  Swap 1 and -39
  List after swap: [-39, 1, 41]

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

Final sorted list: [-39, 1, 41]
</think>

<response>-39, 1, 41</response>


input: Implement bubble sort on 97, 38, 56, 20, -58, -61, -40, -98 to achieve ascending order, writing out each step in detail.

output:
<think>
Initial list: [97, 38, 56, 20, -58, -61, -40, -98]

Pass 1:
  Compare 97 and 38
  Swap 97 and 38
  List after swap: [38, 97, 56, 20, -58, -61, -40, -98]
  Compare 97 and 56
  Swap 97 and 56
  List after swap: [38, 56, 97, 20, -58, -61, -40, -98]
  Compare 97 and 20
  Swap 97 and 20
  List after swap: [38, 56, 20, 97, -58, -61, -40, -98]
  Compare 97 and -58
  Swap 97 and -58
  List after swap: [38, 56, 20, -58, 97, -61, -40, -98]
  Compare 97 and -61
  Swap 97 and -61
  List after swap: [38, 56, 20, -58, -61, 97, -40, -98]
  Compare 97 and -40
  Swap 97 and -40
  List after swap: [38, 56, 20, -58, -61, -40, 97, -98]
  Compare 97 and -98
  Swap 97 and -98
  List after swap: [38, 56, 20, -58, -61, -40, -98, 97]

Pass 2:
  Compare 38 and 56
  No swap needed
  Compare 56 and 20
  Swap 56 and 20
  List after swap: [38, 20, 56, -58, -61, -40, -98, 97]
  Compare 56 and -58
  Swap 56 and -58
  List after swap: [38, 20, -58, 56, -61, -40, -98, 97]
  Compare 56 and -61
  Swap 56 and -61
  List after swap: [38, 20, -58, -61, 56, -40, -98, 97]
  Compare 56 and -40
  Swap 56 and -40
  List after swap: [38, 20, -58, -61, -40, 56, -98, 97]
  Compare 56 and -98
  Swap 56 and -98
  List after swap: [38, 20, -58, -61, -40, -98, 56, 97]

Pass 3:
  Compare 38 and 20
  Swap 38 and 20
  List after swap: [20, 38, -58, -61, -40, -98, 56, 97]
  Compare 38 and -58
  Swap 38 and -58
  List after swap: [20, -58, 38, -61, -40, -98, 56, 97]
  Compare 38 and -61
  Swap 38 and -61
  List after swap: [20, -58, -61, 38, -40, -98, 56, 97]
  Compare 38 and -40
  Swap 38 and -40
  List after swap: [20, -58, -61, -40, 38, -98, 56, 97]
  Compare 38 and -98
  Swap 38 and -98
  List after swap: [20, -58, -61, -40, -98, 38, 56, 97]

Pass 4:
  Compare 20 and -58
  Swap 20 and -58
  List after swap: [-58, 20, -61, -40, -98, 38, 56, 97]
  Compare 20 and -61
  Swap 20 and -61
  List after swap: [-58, -61, 20, -40, -98, 38, 56, 97]
  Compare 20 and -40
  Swap 20 and -40
  List after swap: [-58, -61, -40, 20, -98, 38, 56, 97]
  Compare 20 and -98
  Swap 20 and -98
  List after swap: [-58, -61, -40, -98, 20, 38, 56, 97]

Pass 5:
  Compare -58 and -61
  Swap -58 and -61
  List after swap: [-61, -58, -40, -98, 20, 38, 56, 97]
  Compare -58 and -40
  No swap needed
  Compare -40 and -98
  Swap -40 and -98
  List after swap: [-61, -58, -98, -40, 20, 38, 56, 97]

Pass 6:
  Compare -61 and -58
  No swap needed
  Compare -58 and -98
  Swap -58 and -98
  List after swap: [-61, -98, -58, -40, 20, 38, 56, 97]

Pass 7:
  Compare -61 and -98
  Swap -61 and -98
  List after swap: [-98, -61, -58, -40, 20, 38, 56, 97]

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

Final sorted list: [-98, -61, -58, -40, 20, 38, 56, 97]
</think>

<response>-98, -61, -58, -40, 20, 38, 56, 97</response>


input: Use bubble sort to organize these integers in increasing order and record each step taken: 14, 93, 94, 0, -65, 97, 17, -26.

output:
<think>
Initial list: [14, 93, 94, 0, -65, 97, 17, -26]

Pass 1:
  Compare 14 and 93
  No swap needed
  Compare 93 and 94
  No swap needed
  Compare 94 and 0
  Swap 94 and 0
  List after swap: [14, 93, 0, 94, -65, 97, 17, -26]
  Compare 94 and -65
  Swap 94 and -65
  List after swap: [14, 93, 0, -65, 94, 97, 17, -26]
  Compare 94 and 97
  No swap needed
  Compare 97 and 17
  Swap 97 and 17
  List after swap: [14, 93, 0, -65, 94, 17, 97, -26]
  Compare 97 and -26
  Swap 97 and -26
  List after swap: [14, 93, 0, -65, 94, 17, -26, 97]

Pass 2:
  Compare 14 and 93
  No swap needed
  Compare 93 and 0
  Swap 93 and 0
  List after swap: [14, 0, 93, -65, 94, 17, -26, 97]
  Compare 93 and -65
  Swap 93 and -65
  List after swap: [14, 0, -65, 93, 94, 17, -26, 97]
  Compare 93 and 94
  No swap needed
  Compare 94 and 17
  Swap 94 and 17
  List after swap: [14, 0, -65, 93, 17, 94, -26, 97]
  Compare 94 and -26
  Swap 94 and -26
  List after swap: [14, 0, -65, 93, 17, -26, 94, 97]

Pass 3:
  Compare 14 and 0
  Swap 14 and 0
  List after swap: [0, 14, -65, 93, 17, -26, 94, 97]
  Compare 14 and -65
  Swap 14 and -65
  List after swap: [0, -65, 14, 93, 17, -26, 94, 97]
  Compare 14 and 93
  No swap needed
  Compare 93 and 17
  Swap 93 and 17
  List after swap: [0, -65, 14, 17, 93, -26, 94, 97]
  Compare 93 and -26
  Swap 93 and -26
  List after swap: [0, -65, 14, 17, -26, 93, 94, 97]

Pass 4:
  Compare 0 and -65
  Swap 0 and -65
  List after swap: [-65, 0, 14, 17, -26, 93, 94, 97]
  Compare 0 and 14
  No swap needed
  Compare 14 and 17
  No swap needed
  Compare 17 and -26
  Swap 17 and -26
  List after swap: [-65, 0, 14, -26, 17, 93, 94, 97]

Pass 5:
  Compare -65 and 0
  No swap needed
  Compare 0 and 14
  No swap needed
  Compare 14 and -26
  Swap 14 and -26
  List after swap: [-65, 0, -26, 14, 17, 93, 94, 97]

Pass 6:
  Compare -65 and 0
  No swap needed
  Compare 0 and -26
  Swap 0 and -26
  List after swap: [-65, -26, 0, 14, 17, 93, 94, 97]

Pass 7:
  Compare -65 and -26
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-65, -26, 0, 14, 17, 93, 94, 97]
</think>

<response>-65, -26, 0, 14, 17, 93, 94, 97</response>


input: Using the bubble sort method, sort -1, -53, 92, -58, 90, -25, 51 from lowest to highest and provide a step-by-step breakdown.

output:
<think>
Initial list: [-1, -53, 92, -58, 90, -25, 51]

Pass 1:
  Compare -1 and -53
  Swap -1 and -53
  List after swap: [-53, -1, 92, -58, 90, -25, 51]
  Compare -1 and 92
  No swap needed
  Compare 92 and -58
  Swap 92 and -58
  List after swap: [-53, -1, -58, 92, 90, -25, 51]
  Compare 92 and 90
  Swap 92 and 90
  List after swap: [-53, -1, -58, 90, 92, -25, 51]
  Compare 92 and -25
  Swap 92 and -25
  List after swap: [-53, -1, -58, 90, -25, 92, 51]
  Compare 92 and 51
  Swap 92 and 51
  List after swap: [-53, -1, -58, 90, -25, 51, 92]

Pass 2:
  Compare -53 and -1
  No swap needed
  Compare -1 and -58
  Swap -1 and -58
  List after swap: [-53, -58, -1, 90, -25, 51, 92]
  Compare -1 and 90
  No swap needed
  Compare 90 and -25
  Swap 90 and -25
  List after swap: [-53, -58, -1, -25, 90, 51, 92]
  Compare 90 and 51
  Swap 90 and 51
  List after swap: [-53, -58, -1, -25, 51, 90, 92]

Pass 3:
  Compare -53 and -58
  Swap -53 and -58
  List after swap: [-58, -53, -1, -25, 51, 90, 92]
  Compare -53 and -1
  No swap needed
  Compare -1 and -25
  Swap -1 and -25
  List after swap: [-58, -53, -25, -1, 51, 90, 92]
  Compare -1 and 51
  No swap needed

Pass 4:
  Compare -58 and -53
  No swap needed
  Compare -53 and -25
  No swap needed
  Compare -25 and -1
  No swap needed
  No swaps in this pass, list is sorted.

Final sorted list: [-58, -53, -25, -1, 51, 90, 92]
</think>

<response>-58, -53, -25, -1, 51, 90, 92</response>