Input–Output: Stepwise Number and Word Rearrangement

1. What is an input–output machine?#

An input is an ordered row of numbers, words or both. A machine applies the same rule repeatedly and displays intermediate steps. Your task may be to identify a rule, apply it to another input, find a token at a particular step, or determine the final output.

The machine in a reasoning question is an abstract rule, not a computer program you must know. Observe what changes and what remains fixed. A final sorted row does not explain how the intermediate steps were produced.

2. Essential vocabulary and conventions#

Term	Meaning
Token	One number or one word; a two-digit number is one token
Locked position	A position already assigned permanently by the rule
Unlocked portion	Tokens still eligible for selection
Stable remainder	Unselected tokens retain their relative order
Transformation	Changing a token's value or letters
Rearrangement	Moving tokens without changing their values

Use separators to avoid confusing adjacent numbers. Positions are counted from 1. In a row of N tokens, position r from the right equals N−r+1 from the left. The input is Step 0 unless the question explicitly says otherwise.

3. How to discover a rule from shown steps#

Compare Input → Step 1, then Step 1 → Step 2. Identify the selected token, its destination and the portion that stays fixed. Test the candidate rule on every shown transition.

Ask: Is the selection smallest/largest, dictionary order, word length or digit sum? Is one token moved or a pair? Are odd and even steps different? Does the machine move a token while preserving the remainder, or swap it with another token? Are values altered?

For example, Input 42 17 35 24, Step 1 17 42 35 24, Step 2 17 24 42 35 is consistent with selecting the smallest remaining number to the next left position while preserving other tokens. A rule that swaps the minimum with the first unlocked token also matches Step 1 here, but predicts 17 24 35 42 at Step 2 and is therefore rejected.

A short trace need not determine a unique rule among every imaginable rule. Use the question's stated machine constraints and test the offered alternatives. Never invent certainty from one coincidental match.

4. Increasing numbers from the left: worked example#

Rule: lock the smallest remaining number at the next left position; preserve the relative order of all other tokens.

Stage	Sequence	Newly locked
Input	42 17 35 24	None
Step 1	17 42 35 24	17
Step 2	17 24 42 35	24
Step 3	17 24 35 42	35
Step 4	17 24 35 42	42

Step 2 is not the final sorted output. The unselected 42 remains before 35. Step 4 has the same visible row as Step 3 but may still be a processing step if the rule explicitly processes every token. See the step-count convention below.

5. Decreasing numbers and placement from the right#

Selecting the largest remaining number to successive left positions produces decreasing order. Selecting the largest remaining number to the rightmost unlocked position produces increasing order when complete.

With input 42 17 35 24, the right-placement machine gives:

• Step 1: 17 35 24 | 42.
• Step 2: 17 24 | 35 42.
• Step 3: 17 | 24 35 42.

The vertical bar separates the remaining middle from the locked right block; it is not a token. Each new right-side selection is placed before the previously locked suffix. Appending it after the suffix would move a locked token and change the rule.

6. Word order: dictionary and reverse dictionary#

Compare English words letter by letter. If first letters match, compare the second letters, then later letters. If one word is a complete prefix of another, the shorter word comes first: ant precedes anthem. For apple, apricot, banana, the order is apple → apricot → banana.

Reverse dictionary order reverses this comparison. It does not reverse the letters inside each word. In this chapter, English word tokens remain in English on the Hindi page because changing their language would change the ordering problem. Instructions and explanations are translated.

7. Word length and tie-breaks#

A length-based machine may select shortest or longest words first. Equal lengths need a tie-break: alphabetical order, reverse order or original input order. Do not assume one when it is not given.

Example: input pear fig apple plum. Under shortest-first with alphabetical ties, selections are fig, pear, plum, apple. Both pear and plum have four letters; pear comes first alphabetically. If the rule used original order for ties, that would be a different machine.

For numbers ordered by digit sum, 24 and 51 both have sum 6. A smaller-number tie-break selects 24 first. Digit sum does not mean the number itself: 80 has digit sum 8, whereas 19 has sum 10, so 80 comes earlier under increasing digit sum.

8. Mixed numbers and words at opposite ends#

Keep three separate blocks: locked left | remaining middle | locked right. Alternate selection rules precisely as stated.

Rule for this example: odd steps select the smallest remaining number to the left; even steps select the alphabetically latest remaining word to the right.

Stage	Full row
Input	mango 42 apple 17 berry 35
Step 1	17 mango 42 apple berry 35
Step 2	17 42 apple berry 35 mango
Step 3	17 35 42 apple berry mango
Step 4	17 35 42 apple berry mango
Step 5	17 35 42 apple berry mango
Step 6	17 35 42 apple berry mango

The visible row can stay unchanged while a new token becomes locked. After Step 2, only 17 and mango are locked; the middle must not be assumed fully processed. These practice inputs have equal numbers of words and numbers, so the alternating rule always has an eligible token.

9. Selecting at both ends of a numerical row#

Another machine chooses minimum-left at odd steps and maximum-right at even steps. Maintain the suffix in its existing order; do not sort the middle early. With six numbers, after two steps one is locked at each end, leaving four eligible numbers.

Do not confuse “two-end arrangement” with “two tokens per step”. An alternating machine processes one token per step. A paired machine can process one number and one word in a single step. Its step count and intermediate output differ.

10. Transformations and original identities#

Some machines change the selected value. Separate which token is chosen from what value is displayed.

Example: at step s, take the smallest original unlocked number, add s, and lock the result on the left. Input 24 11 18 gives Step 1 12 24 18, Step 2 12 20 24, Step 3 12 20 27.

A displayed locked value must not re-enter the selection pool. Two outputs could even become equal under a transformation; token identity and locked status still matter. Do not change the unselected numbers unless the rule says to do so. Other possible transformations include squaring, letter shifts or digit reversal, but each requires its own explicit rule.

11. Step count: read the stopping rule#

There is no universal “N−1 steps” answer. These are different conventions:

• Process one token per step, including the last: N steps.
• Stop as soon as the final arrangement is reached: possibly fewer steps.
• Skip selections that need no movement: count actual movements only.
• Process two eligible tokens per step: the count depends on pairing and any leftover token.

All questions in this chapter's bank explicitly count one selection as one step, even without visible movement, and process the last token too. This makes step references unambiguous. In a different exam, follow its stated or demonstrated convention.

12. Position, neighbours and reverse questions#

Write the requested step, then count positions from the stated side. For six tokens, second from the right is fifth from the left. “Immediately left of X” refers to its neighbour in that particular step, not the original input.

An intermediate row usually does not identify the original input uniquely. Under minimum-left stable selection, both 30 10 20 and 10 30 20 can yield Step 1 10 30 20. Reverse recovery needs additional constraints; “cannot be determined” can be correct. Likewise, do not claim a unique final output if a missing tie-break can change the order.

13. Common errors and a faster method#

Error	Correction
Sorting the whole row at Step 1	Move only the permitted token(s)
Swapping when stable movement is required	Remove the selected token, then insert it at the boundary
Counting a number's digits as separate tokens	Treat each separated entry as one token
Choosing from the locked block	Maintain a separate eligible middle
Reversing words instead of dictionary order	Compare complete words by the specified key
Forgetting odd/even alternation	Write the step number before selecting
Assuming every step must visibly change	Apply the stated processing convention
Guessing the input from the output	Check whether the mapping is reversible

For speed, prepare the selection order separately, but preserve the original relative order of unselected tokens at each step. This lets you predict which item locks next without accidentally replacing the middle by its sorted version.

14. Revision and practice plan#

Identify the selection key → destination → stability rule → tie-break → odd/even behaviour → transformation → stopping rule. Validate the rule on two or more shown transitions whenever available.

The online bank has 80 questions: 20 numerical machines, 20 word machines, 20 mixed machines and 20 advanced machines using opposite ends, digit sums or transformations. Questions ask for intermediate rows, positions, selected original tokens and final outputs. All rules are explicitly supplied so you can practise exact execution before tackling inferred-rule variants. Four focused tests contain 20 questions each; complete practice contains all 80. The following 30 exercises include full traces in the answer section.

15. Practice questions#

Practice 01#

Input: 79 | 44 | 91 | 42 | 82 | 45.

Machine rule: At each step, select the smallest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 2?

• A: 42 | 44 | 79 | 91 | 82 | 45
• B: 82 | 91 | 79 | 45 | 44 | 42
• C: 45 | 42 | 44 | 79 | 82 | 91
• D: 82 | 45 | 91 | 79 | 44 | 42

Practice 02#

Input: 48 | 32 | 41 | 88 | 84 | 36.

Machine rule: At each step, select the largest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 2 from the LEFT after Step 3?

• A: 41
• B: 84
• C: 36
• D: 32

Practice 03#

Input: 92 | 20 | 58 | 24 | 56 | 12.

Machine rule: At each step, select the largest unlocked number and move it to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 4?

• A: 58
• B: 20
• C: 24
• D: 12

Practice 04#

Input: 27 | 58 | 69 | 92 | 19 | 40.

Machine rule: At each step, select the smallest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: 40 | 19 | 58 | 92 | 27 | 69
• B: 27 | 92 | 19 | 69 | 40 | 58
• C: 27 | 19 | 58 | 69 | 40 | 92
• D: 19 | 27 | 40 | 58 | 69 | 92

Practice 05#

Input: 39 | 18 | 32 | 58 | 77 | 94.

Machine rule: At each step, select the smallest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 2?

• A: 77
• B: 18
• C: 32
• D: 39

Practice 06#

Input: 28 | 82 | 67 | 86 | 84 | 19.

Machine rule: At each step, select the smallest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 4 from the LEFT after Step 2?

• A: 28
• B: 67
• C: 82
• D: 19

Practice 07#

Input: 35 | 68 | 14 | 62 | 63 | 50.

Machine rule: At each step, select the largest unlocked number and move it to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 4?

• A: 14
• B: 63
• C: 50
• D: 68

Practice 08#

Input: 55 | 34 | 91 | 39 | 20 | 78.

Machine rule: At each step, select the largest unlocked number and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: 78 | 34 | 55 | 20 | 91 | 39
• B: 34 | 20 | 55 | 91 | 39 | 78
• C: 91 | 55 | 20 | 39 | 78 | 34
• D: 91 | 78 | 55 | 39 | 34 | 20

Practice 09#

Input: banana | water | lemon | stone | forest | delta.

Machine rule: At each step, select the shortest unlocked English word and move it to the next position on the LEFT; break equal-length ties by alphabetical order. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 4?

• A: delta | lemon | stone | water | banana | forest
• B: forest | stone | banana | water | delta | lemon
• C: banana | delta | forest | stone | water | lemon
• D: banana | water | delta | lemon | forest | stone

Practice 10#

Input: water | cedar | berry | rose | light | apricot.

Machine rule: At each step, select the alphabetically earliest unlocked English word and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 4 from the LEFT after Step 2?

• A: berry
• B: cedar
• C: rose
• D: water

Practice 11#

Input: pearl | cherry | apricot | river | tiger | dream.

Machine rule: At each step, select the alphabetically latest unlocked English word and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 3?

• A: dream
• B: river
• C: pearl
• D: apricot

Practice 12#

Input: rose | dream | light | jasmine | eagle | river.

Machine rule: At each step, select the shortest unlocked English word and move it to the next position on the LEFT; break equal-length ties by alphabetical order. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: river | light | eagle | jasmine | dream | rose
• B: jasmine | dream | eagle | river | rose | light
• C: jasmine | light | eagle | dream | river | rose
• D: rose | dream | eagle | light | river | jasmine

Practice 13#

Input: eagle | pearl | banana | green | silver | honey.

Machine rule: At each step, select the alphabetically latest unlocked English word and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 3?

• A: silver | pearl | honey | eagle | banana | green
• B: silver | honey | eagle | pearl | green | banana
• C: honey | green | banana | silver | pearl | eagle
• D: banana | pearl | silver | honey | eagle | green

Practice 14#

Input: banana | apricot | mango | delta | willow | pearl.

Machine rule: At each step, select the alphabetically earliest unlocked English word and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 4 from the LEFT after Step 2?

• A: willow
• B: delta
• C: mango
• D: apricot

Practice 15#

Input: rose | forest | pearl | zebra | cedar | olive.

Machine rule: At each step, select the shortest unlocked English word and move it to the next position on the LEFT; break equal-length ties by alphabetical order. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 4?

• A: rose
• B: forest
• C: pearl
• D: zebra

Practice 16#

Input: ocean | water | zebra | light | tiger | eagle.

Machine rule: At each step, select the alphabetically earliest unlocked English word and move it to the next position on the LEFT. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: eagle | tiger | ocean | zebra | light | water
• B: tiger | ocean | light | eagle | zebra | water
• C: light | zebra | eagle | ocean | water | tiger
• D: eagle | light | ocean | tiger | water | zebra

Practice 17#

Input: violet | 59 | eagle | 90 | 53 | delta.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 3?

• A: 53 | 59 | eagle | 90 | delta | violet
• B: delta | 59 | violet | 53 | 90 | eagle
• C: violet | 53 | eagle | 90 | 59 | delta
• D: violet | eagle | delta | 53 | 59 | 90

Practice 18#

Input: lemon | 88 | 71 | jasmine | rose | 24.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 6 from the LEFT after Step 4?

• A: 88
• B: rose
• C: 71
• D: 24

Practice 19#

Input: 41 | 95 | forest | apple | willow | 24.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 4?

• A: 24 | 41 | 95 | apple | forest | willow
• B: forest | 41 | willow | 24 | apple | 95
• C: 41 | willow | 95 | apple | 24 | forest
• D: 95 | willow | 41 | forest | apple | 24

Practice 20#

Input: zebra | 17 | ocean | jasmine | 97 | 42.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: ocean | zebra | 97 | 42 | jasmine | 17
• B: ocean | jasmine | 42 | 97 | zebra | 17
• C: ocean | 42 | zebra | 97 | jasmine | 17
• D: 17 | 42 | 97 | jasmine | ocean | zebra

Practice 21#

Input: delta | 19 | 61 | flame | 69 | tiger.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 3?

• A: 19 | 61 | delta | flame | 69 | tiger
• B: 69 | delta | flame | 61 | 19 | tiger
• C: 19 | flame | tiger | 61 | delta | 69
• D: tiger | 19 | 61 | delta | flame | 69

Practice 22#

Input: 82 | dream | 90 | ocean | 95 | silver.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the alphabetically latest unlocked English word to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 4 from the LEFT after Step 2?

• A: 90
• B: ocean
• C: dream
• D: 82

Practice 23#

Input: 71 | 66 | 17 | 53 | 25 | 93 | 15.

Machine rule: Odd steps: move the smallest unlocked number to the next LEFT position. Even steps: move the largest unlocked number to the rightmost unlocked position. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 2?

• A: 15 | 71 | 66 | 17 | 53 | 25 | 93
• B: 15 | 93 | 17 | 71 | 25 | 53 | 66
• C: 17 | 53 | 25 | 71 | 66 | 15 | 93
• D: 71 | 17 | 53 | 93 | 25 | 15 | 66

Practice 24#

Input: 45 | 37 | 88 | 77 | 46 | 56 | 12.

Machine rule: At each step, select the unlocked number with the smallest digit sum; break ties by the smaller original number. Move it to the next LEFT position without changing its value. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 6 from the LEFT after Step 3?

• A: 56
• B: 46
• C: 45
• D: 88

Practice 25#

Input: 39 | 72 | 96 | 42 | 77 | 30 | 75.

Machine rule: At step s, select the smallest ORIGINAL unlocked number, add s to it, and lock the result at the next LEFT position. Locked results are never selected again. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which original token is selected at Step 4?

• A: 30
• B: 39
• C: 72
• D: 77

Practice 26#

Input: 46 | 20 | 22 | 37 | 47 | 45 | 86.

Machine rule: At step s, select the smallest ORIGINAL unlocked number, add s to it, and lock the result at the next LEFT position. Locked results are never selected again. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

Which token is 3 from the LEFT after Step 4?

• A: 86
• B: 40
• C: 21
• D: 24

Practice 27#

Input: 96 | 97 | 45 | 42 | 64 | 77 | 71.

Machine rule: At step s, select the smallest ORIGINAL unlocked number, add s to it, and lock the result at the next LEFT position. Locked results are never selected again. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 4?

• A: 43 | 47 | 67 | 75 | 96 | 97 | 77
• B: 75 | 96 | 77 | 97 | 43 | 67 | 47
• C: 47 | 77 | 67 | 96 | 43 | 97 | 75
• D: 77 | 67 | 75 | 47 | 96 | 97 | 43

Practice 28#

Input: 75 | 36 | 49 | 87 | 23 | 32 | 85.

Machine rule: At step s, select the smallest ORIGINAL unlocked number, add s to it, and lock the result at the next LEFT position. Locked results are never selected again. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: 39 | 91 | 94 | 34 | 24 | 80 | 53
• B: 94 | 53 | 80 | 34 | 91 | 24 | 39
• C: 39 | 94 | 34 | 80 | 53 | 24 | 91
• D: 24 | 34 | 39 | 53 | 80 | 91 | 94

Practice 29#

Input: 64 | 57 | 29 | 34 | 50 | 17 | 69.

Machine rule: At each step, select the unlocked number with the smallest digit sum; break ties by the smaller original number. Move it to the next LEFT position without changing its value. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the full sequence after Step 3?

• A: 50 | 34 | 17 | 64 | 57 | 29 | 69
• B: 69 | 29 | 17 | 34 | 57 | 50 | 64
• C: 69 | 64 | 57 | 29 | 17 | 34 | 50
• D: 69 | 50 | 29 | 57 | 64 | 17 | 34

Practice 30#

Input: 85 | 31 | 16 | 20 | 56 | 84 | 58.

Machine rule: At each step, select the unlocked number with the smallest digit sum; break ties by the smaller original number. Move it to the next LEFT position without changing its value. Preserve the relative order of all other unlocked tokens; keep earlier locked positions fixed. One selection is one step, even if the selected token is already in that position. Process every token, including the last.

What is the final output after every token has been processed?

• A: 31 | 56 | 20 | 16 | 58 | 85 | 84
• B: 20 | 16 | 31 | 84 | 85 | 58 | 56
• C: 84 | 16 | 20 | 58 | 85 | 31 | 56
• D: 20 | 31 | 16 | 56 | 84 | 58 | 85

16. Answers and step-by-step solutions#

Answer 01#

A: 42 | 44 | 79 | 91 | 82 | 45

Step	Selected original token	Full sequence
1	42	42 · 79 · 44 · 91 · 82 · 45
2	44	42 · 44 · 79 · 91 · 82 · 45
3	45	42 · 44 · 45 · 79 · 91 · 82
4	79	42 · 44 · 45 · 79 · 91 · 82
5	82	42 · 44 · 45 · 79 · 82 · 91
6	91	42 · 44 · 45 · 79 · 82 · 91

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 02#

B: 84

Step	Selected original token	Full sequence
1	88	88 · 48 · 32 · 41 · 84 · 36
2	84	88 · 84 · 48 · 32 · 41 · 36
3	48	88 · 84 · 48 · 32 · 41 · 36
4	41	88 · 84 · 48 · 41 · 32 · 36
5	36	88 · 84 · 48 · 41 · 36 · 32
6	32	88 · 84 · 48 · 41 · 36 · 32

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 03#

C: 24

Step	Selected original token	Full sequence
1	92	20 · 58 · 24 · 56 · 12 · 92
2	58	20 · 24 · 56 · 12 · 58 · 92
3	56	20 · 24 · 12 · 56 · 58 · 92
4	24	20 · 12 · 24 · 56 · 58 · 92
5	20	12 · 20 · 24 · 56 · 58 · 92
6	12	12 · 20 · 24 · 56 · 58 · 92

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 04#

D: 19 | 27 | 40 | 58 | 69 | 92

Step	Selected original token	Full sequence
1	19	19 · 27 · 58 · 69 · 92 · 40
2	27	19 · 27 · 58 · 69 · 92 · 40
3	40	19 · 27 · 40 · 58 · 69 · 92
4	58	19 · 27 · 40 · 58 · 69 · 92
5	69	19 · 27 · 40 · 58 · 69 · 92
6	92	19 · 27 · 40 · 58 · 69 · 92

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 05#

C: 32

Step	Selected original token	Full sequence
1	18	18 · 39 · 32 · 58 · 77 · 94
2	32	18 · 32 · 39 · 58 · 77 · 94
3	39	18 · 32 · 39 · 58 · 77 · 94
4	58	18 · 32 · 39 · 58 · 77 · 94
5	77	18 · 32 · 39 · 58 · 77 · 94
6	94	18 · 32 · 39 · 58 · 77 · 94

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 06#

B: 67

Step	Selected original token	Full sequence
1	19	19 · 28 · 82 · 67 · 86 · 84
2	28	19 · 28 · 82 · 67 · 86 · 84
3	67	19 · 28 · 67 · 82 · 86 · 84
4	82	19 · 28 · 67 · 82 · 86 · 84
5	84	19 · 28 · 67 · 82 · 84 · 86
6	86	19 · 28 · 67 · 82 · 84 · 86

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 07#

C: 50

Step	Selected original token	Full sequence
1	68	35 · 14 · 62 · 63 · 50 · 68
2	63	35 · 14 · 62 · 50 · 63 · 68
3	62	35 · 14 · 50 · 62 · 63 · 68
4	50	35 · 14 · 50 · 62 · 63 · 68
5	35	14 · 35 · 50 · 62 · 63 · 68
6	14	14 · 35 · 50 · 62 · 63 · 68

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 08#

D: 91 | 78 | 55 | 39 | 34 | 20

Step	Selected original token	Full sequence
1	91	91 · 55 · 34 · 39 · 20 · 78
2	78	91 · 78 · 55 · 34 · 39 · 20
3	55	91 · 78 · 55 · 34 · 39 · 20
4	39	91 · 78 · 55 · 39 · 34 · 20
5	34	91 · 78 · 55 · 39 · 34 · 20
6	20	91 · 78 · 55 · 39 · 34 · 20

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 09#

A: delta | lemon | stone | water | banana | forest

Step	Selected original token	Full sequence
1	delta	delta · banana · water · lemon · stone · forest
2	lemon	delta · lemon · banana · water · stone · forest
3	stone	delta · lemon · stone · banana · water · forest
4	water	delta · lemon · stone · water · banana · forest
5	banana	delta · lemon · stone · water · banana · forest
6	forest	delta · lemon · stone · water · banana · forest

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 10#

B: cedar

Step	Selected original token	Full sequence
1	apricot	apricot · water · cedar · berry · rose · light
2	berry	apricot · berry · water · cedar · rose · light
3	cedar	apricot · berry · cedar · water · rose · light
4	light	apricot · berry · cedar · light · water · rose
5	rose	apricot · berry · cedar · light · rose · water
6	water	apricot · berry · cedar · light · rose · water

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 11#

C: pearl

Step	Selected original token	Full sequence
1	tiger	tiger · pearl · cherry · apricot · river · dream
2	river	tiger · river · pearl · cherry · apricot · dream
3	pearl	tiger · river · pearl · cherry · apricot · dream
4	dream	tiger · river · pearl · dream · cherry · apricot
5	cherry	tiger · river · pearl · dream · cherry · apricot
6	apricot	tiger · river · pearl · dream · cherry · apricot

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 12#

D: rose | dream | eagle | light | river | jasmine

Step	Selected original token	Full sequence
1	rose	rose · dream · light · jasmine · eagle · river
2	dream	rose · dream · light · jasmine · eagle · river
3	eagle	rose · dream · eagle · light · jasmine · river
4	light	rose · dream · eagle · light · jasmine · river
5	river	rose · dream · eagle · light · river · jasmine
6	jasmine	rose · dream · eagle · light · river · jasmine

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 13#

A: silver | pearl | honey | eagle | banana | green

Step	Selected original token	Full sequence
1	silver	silver · eagle · pearl · banana · green · honey
2	pearl	silver · pearl · eagle · banana · green · honey
3	honey	silver · pearl · honey · eagle · banana · green
4	green	silver · pearl · honey · green · eagle · banana
5	eagle	silver · pearl · honey · green · eagle · banana
6	banana	silver · pearl · honey · green · eagle · banana

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 14#

B: delta

Step	Selected original token	Full sequence
1	apricot	apricot · banana · mango · delta · willow · pearl
2	banana	apricot · banana · mango · delta · willow · pearl
3	delta	apricot · banana · delta · mango · willow · pearl
4	mango	apricot · banana · delta · mango · willow · pearl
5	pearl	apricot · banana · delta · mango · pearl · willow
6	willow	apricot · banana · delta · mango · pearl · willow

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 15#

C: pearl

Step	Selected original token	Full sequence
1	rose	rose · forest · pearl · zebra · cedar · olive
2	cedar	rose · cedar · forest · pearl · zebra · olive
3	olive	rose · cedar · olive · forest · pearl · zebra
4	pearl	rose · cedar · olive · pearl · forest · zebra
5	zebra	rose · cedar · olive · pearl · zebra · forest
6	forest	rose · cedar · olive · pearl · zebra · forest

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 16#

D: eagle | light | ocean | tiger | water | zebra

Step	Selected original token	Full sequence
1	eagle	eagle · ocean · water · zebra · light · tiger
2	light	eagle · light · ocean · water · zebra · tiger
3	ocean	eagle · light · ocean · water · zebra · tiger
4	tiger	eagle · light · ocean · tiger · water · zebra
5	water	eagle · light · ocean · tiger · water · zebra
6	zebra	eagle · light · ocean · tiger · water · zebra

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 17#

A: 53 | 59 | eagle | 90 | delta | violet

Step	Selected original token	Full sequence
1	53	53 · violet · 59 · eagle · 90 · delta
2	violet	53 · 59 · eagle · 90 · delta · violet
3	59	53 · 59 · eagle · 90 · delta · violet
4	eagle	53 · 59 · 90 · delta · eagle · violet
5	90	53 · 59 · 90 · delta · eagle · violet
6	delta	53 · 59 · 90 · delta · eagle · violet

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 18#

B: rose

Step	Selected original token	Full sequence
1	24	24 · lemon · 88 · 71 · jasmine · rose
2	rose	24 · lemon · 88 · 71 · jasmine · rose
3	71	24 · 71 · lemon · 88 · jasmine · rose
4	lemon	24 · 71 · 88 · jasmine · lemon · rose
5	88	24 · 71 · 88 · jasmine · lemon · rose
6	jasmine	24 · 71 · 88 · jasmine · lemon · rose

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 19#

A: 24 | 41 | 95 | apple | forest | willow

Step	Selected original token	Full sequence
1	24	24 · 41 · 95 · forest · apple · willow
2	willow	24 · 41 · 95 · forest · apple · willow
3	41	24 · 41 · 95 · forest · apple · willow
4	forest	24 · 41 · 95 · apple · forest · willow
5	95	24 · 41 · 95 · apple · forest · willow
6	apple	24 · 41 · 95 · apple · forest · willow

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 20#

D: 17 | 42 | 97 | jasmine | ocean | zebra

Step	Selected original token	Full sequence
1	17	17 · zebra · ocean · jasmine · 97 · 42
2	zebra	17 · ocean · jasmine · 97 · 42 · zebra
3	42	17 · 42 · ocean · jasmine · 97 · zebra
4	ocean	17 · 42 · jasmine · 97 · ocean · zebra
5	97	17 · 42 · 97 · jasmine · ocean · zebra
6	jasmine	17 · 42 · 97 · jasmine · ocean · zebra

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 21#

A: 19 | 61 | delta | flame | 69 | tiger

Step	Selected original token	Full sequence
1	19	19 · delta · 61 · flame · 69 · tiger
2	tiger	19 · delta · 61 · flame · 69 · tiger
3	61	19 · 61 · delta · flame · 69 · tiger
4	flame	19 · 61 · delta · 69 · flame · tiger
5	69	19 · 61 · 69 · delta · flame · tiger
6	delta	19 · 61 · 69 · delta · flame · tiger

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 22#

B: ocean

Step	Selected original token	Full sequence
1	82	82 · dream · 90 · ocean · 95 · silver
2	silver	82 · dream · 90 · ocean · 95 · silver
3	90	82 · 90 · dream · ocean · 95 · silver
4	ocean	82 · 90 · dream · 95 · ocean · silver
5	95	82 · 90 · 95 · dream · ocean · silver
6	dream	82 · 90 · 95 · dream · ocean · silver

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 23#

A: 15 | 71 | 66 | 17 | 53 | 25 | 93

Step	Selected original token	Full sequence
1	15	15 · 71 · 66 · 17 · 53 · 25 · 93
2	93	15 · 71 · 66 · 17 · 53 · 25 · 93
3	17	15 · 17 · 71 · 66 · 53 · 25 · 93
4	71	15 · 17 · 66 · 53 · 25 · 71 · 93
5	25	15 · 17 · 25 · 66 · 53 · 71 · 93
6	66	15 · 17 · 25 · 53 · 66 · 71 · 93
7	53	15 · 17 · 25 · 53 · 66 · 71 · 93

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 24#

B: 46

Step	Selected original token	Full sequence
1	12	12 · 45 · 37 · 88 · 77 · 46 · 56
2	45	12 · 45 · 37 · 88 · 77 · 46 · 56
3	37	12 · 45 · 37 · 88 · 77 · 46 · 56
4	46	12 · 45 · 37 · 46 · 88 · 77 · 56
5	56	12 · 45 · 37 · 46 · 56 · 88 · 77
6	77	12 · 45 · 37 · 46 · 56 · 77 · 88
7	88	12 · 45 · 37 · 46 · 56 · 77 · 88

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 25#

C: 72

Step	Selected original token	Full sequence
1	30	31 · 39 · 72 · 96 · 42 · 77 · 75
2	39	31 · 41 · 72 · 96 · 42 · 77 · 75
3	42	31 · 41 · 45 · 72 · 96 · 77 · 75
4	72	31 · 41 · 45 · 76 · 96 · 77 · 75
5	75	31 · 41 · 45 · 76 · 80 · 96 · 77
6	77	31 · 41 · 45 · 76 · 80 · 83 · 96
7	96	31 · 41 · 45 · 76 · 80 · 83 · 103

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 26#

B: 40

Step	Selected original token	Full sequence
1	20	21 · 46 · 22 · 37 · 47 · 45 · 86
2	22	21 · 24 · 46 · 37 · 47 · 45 · 86
3	37	21 · 24 · 40 · 46 · 47 · 45 · 86
4	45	21 · 24 · 40 · 49 · 46 · 47 · 86
5	46	21 · 24 · 40 · 49 · 51 · 47 · 86
6	47	21 · 24 · 40 · 49 · 51 · 53 · 86
7	86	21 · 24 · 40 · 49 · 51 · 53 · 93

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 27#

A: 43 | 47 | 67 | 75 | 96 | 97 | 77

Step	Selected original token	Full sequence
1	42	43 · 96 · 97 · 45 · 64 · 77 · 71
2	45	43 · 47 · 96 · 97 · 64 · 77 · 71
3	64	43 · 47 · 67 · 96 · 97 · 77 · 71
4	71	43 · 47 · 67 · 75 · 96 · 97 · 77
5	77	43 · 47 · 67 · 75 · 82 · 96 · 97
6	96	43 · 47 · 67 · 75 · 82 · 102 · 97
7	97	43 · 47 · 67 · 75 · 82 · 102 · 104

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 28#

D: 24 | 34 | 39 | 53 | 80 | 91 | 94

Step	Selected original token	Full sequence
1	23	24 · 75 · 36 · 49 · 87 · 32 · 85
2	32	24 · 34 · 75 · 36 · 49 · 87 · 85
3	36	24 · 34 · 39 · 75 · 49 · 87 · 85
4	49	24 · 34 · 39 · 53 · 75 · 87 · 85
5	75	24 · 34 · 39 · 53 · 80 · 87 · 85
6	85	24 · 34 · 39 · 53 · 80 · 91 · 87
7	87	24 · 34 · 39 · 53 · 80 · 91 · 94

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 29#

A: 50 | 34 | 17 | 64 | 57 | 29 | 69

Step	Selected original token	Full sequence
1	50	50 · 64 · 57 · 29 · 34 · 17 · 69
2	34	50 · 34 · 64 · 57 · 29 · 17 · 69
3	17	50 · 34 · 17 · 64 · 57 · 29 · 69
4	64	50 · 34 · 17 · 64 · 57 · 29 · 69
5	29	50 · 34 · 17 · 64 · 29 · 57 · 69
6	57	50 · 34 · 17 · 64 · 29 · 57 · 69
7	69	50 · 34 · 17 · 64 · 29 · 57 · 69

The unselected tokens retain their relative order. Locked tokens are not selected again.

Answer 30#

D: 20 | 31 | 16 | 56 | 84 | 58 | 85

Step	Selected original token	Full sequence
1	20	20 · 85 · 31 · 16 · 56 · 84 · 58
2	31	20 · 31 · 85 · 16 · 56 · 84 · 58
3	16	20 · 31 · 16 · 85 · 56 · 84 · 58
4	56	20 · 31 · 16 · 56 · 85 · 84 · 58
5	84	20 · 31 · 16 · 56 · 84 · 85 · 58
6	58	20 · 31 · 16 · 56 · 84 · 58 · 85
7	85	20 · 31 · 16 · 56 · 84 · 58 · 85

The unselected tokens retain their relative order. Locked tokens are not selected again.

This is AI-generated information.