保险箱密码推理

Solving the puzzle

I’m working through Sroan’s 7-digit passcode with four guesses. Each guess has two correct, non-adjacent digit-position matches.

Mapping the code

I'm figuring out the 7-digit passcode by checking each guess for exactly two non-adjacent correct digit positions. This step-by-step approach helps simplify the problem.

Tracking digits

I'm gathering info on unique digits from all guesses, aiming to identify which two non-adjacent positions have correct digits. Progress is being made systematically.

Spotting unique digits

OK, let me see. '7' is in guess #1, and '1' is in guess #3. Each guess has two correct digits, non-adjacent.

Noticing patterns

I’m thinking about the frequency of each digit in each position across all guesses. This might reveal positions with consistently identified digits, judging from the data trends.

Spotting patterns

I'm looking at digits that consistently land in the same spot across different guesses to identify positions more likely to have correct digits. Progress is steady!

Spotting the pattern

I’ve made a table of possible digits for each position, considering exactly two matches per guess and non-adjacency constraints. Now I’m looking at impossible digit locations.

Mapping digit patterns

I’m identifying digits that appear in multiple guesses, which might highlight likely positions for the code's digits. For instance, digit 9 is found in four distinct positions across the guesses.

Gauging digit constraints

I'm focusing on digit 8's appearances in guesses #2, #3, and #4, suggesting it likely isn't in the code. This narrows down the possibilities for other digits.

Identifying non-adjacent matches

I’m mapping out non-adjacent pairs of correct digit positions for guess #1, considering constraints to pinpoint valid combinations. Next, I’ll apply this logic to other guesses.

Identifying constraints

I’m breaking down the rule against adjacent correct positions for guess #1, ensuring distinct digits without pairs like positions 6 and 7 being both correct.

Analyzing constraints

I’m mapping out the impact if digit 7 is excluded from guess #1, noting that positions 1-6 must then be correct without digit 7. This avoids adjacent positions being correct.

Mapping solutions

I'm focusing on adjacency constraints and correct digit pairs for each guess. Ensuring each digit is used uniquely, I'm challenging traditional logic puzzle methods to pinpoint a viable solution.

Mapping out valid pairs

I’m listing all possible valid pairs of positions for guess #1 that are non-adjacent and allow exactly two correct matches without repeating digits.

Identifying valid pairs

I’m mapping out non-adjacent pairs of correct digit positions for guesses #2, #3, and #4, ensuring each guess has two correct matches without repeating digits.

Mapping valid pairs

I'm working through non-adjacent, valid digit pairs for guesses #2, #3, and #4, ensuring each guess has two correct matches without repeating digits. Progress is steady and logical.

Narrowing down options

I'm analyzing digit positions across all guesses to pinpoint digits that must align uniquely with each guess, ensuring consistency and avoiding contradictions in identifying the passcode.

Aligning guesses

I’m ensuring each passcode digit aligns correctly with only one guess, which eliminates contradictions and confirms consistency across all guesses. This narrows down the choices effectively.

Ensuring uniqueness

I’m verifying that each guess and position pair has distinct digits. This approach ensures no digit overlaps between guesses, helping to identify the correct passcode without repetition.

Confirming unique positions

I’m checking that each guess has unique digits for each position, ensuring no overlap in correct positions. This confirms each digit aligns with only one guess or none, avoiding multiple matches.

Spotting contradictions

I’m thinking through the overlap of correct passcode positions across guesses. Misalignment is apparent: there are 8 correct positions for 7 digits, indicating a contradiction.

Spotting overlaps

I’ve identified an overlap in positions between guess #3 and guess #4. This coincides with an 8-position puzzle and 7-code constraint, indicating a contradiction.

Spotting the clue

I’ve figured out that digit '9' in position 5 must be part of the code. This overlap resolves the puzzle's contradiction between a possible 8 correct positions and only 7 specified positions.

Pinpointing the solution

OK, let's think it through: the '9' in position 5 pinpoints two correct positions for guess #3. Other spots couldn't align with guess #4 due to adjacency rules.

Clarifying position constraints

I’m confirming position requirements for guess #4, avoiding adjacency to position 5. Each digit must be unique across the code, ensuring consistency and clarity.

Calculating accuracy

I'm piecing together the number of guesses required to be 90% sure of the code, factoring in correctness rates and total positions. Progress is steady!

Confirming unique digits

I’m piecing together unique digit assignments, ensuring no overlap between guesses. This keeps the code's distinct digits intact, validating the final passcode.

Ensuring placement accuracy

I'm working through ensuring that each guess's correct position is accurately placed and does not overlap by mapping out potential combinations. This approach helps keep things streamlined and efficient.

Confirming digit positions

I’m verifying consistent placement of each guess's correct positions, ensuring no conflicts with distinct digits or overlapping. This helps maintain the code's integrity.

Identifying unique positions

I’m noting that guesses #3 and #4 cannot share the same correct position due to conflicting digits. This realization allows me to examine and rule out specific combinations.

Evaluating combinations

I'm examining each pair of positions for guesses #3 and #4, checking for conflicts in digit uniqueness. So far, the pair (1,3) seems promising since no conflicts exist.

Evaluating spot pairs

I’m noting that pairs (1,7), (2,1), and (2,3) show potential without conflicts. It’s interesting to see these progress as plausible combinations, steering clear of digit overlaps.

Identifying valid pairs

I’m digging into pairs for guesses #3 and #4, ensuring unique digits for each position. Pairs like (3,1), (3,2), (3,7), (7,1), and (7,2) show promise without conflicts.

Eliminating combinations

I'm mapping out pairs for guesses #3 and #4, ensuring unique digits for each position. Pairs like (1,3), (1,7), (2,1), (2,3), (3,1), (3,2), (3,7), (7,1), and (7,2) show promise.

Refining the possibilities

I’m tracking the progress with pairs (1,3), (1,7), (2,1), (2,3), (3,1), (3,2), (3,7), (7,1), and (7,2), ensuring each set has distinct digits for each position.

Ensuring precision

I'm verifying each digit pair for guesses #3 and #4, confirming they align with 7 valid passcode positions. This guarantees the combinations meet the distinct digits and adjacency rules.

Eliminating invalid spots

I’m figuring out that guesses #1 and #2 can't have correct positions at 5 since it’s taken by '9'. This streamlines identifying valid positions for each guess.

Identifying valid positions

I’m analyzing guesses #1 and #2, ensuring their correct positions are from {1,2,3,4,6,7}. This helps pinpoint the valid range and avoid conflicts with other guesses.

Mapping out the code

I'm analyzing scenario 1, establishing C1=4, C3=5, C5=9. Considering guess #1's digits, positions 1 and 2 present possibilities for a match.

Weighing options

OK, I’m working through positions 2, 4, 6, and 7 for guess #1, ensuring no adjacent matches and confirming the use of digits 0, 2, 3, and 7.

Confirming spacing

I’m mapping out that positions 2 and 4 are valid for guess #1 by ensuring a gap of at least two indices between them, aligning with the puzzle's constraints.

Pinpointing valid pairs

I’ve identified the valid non-adjacent pairs from {2,4,6,7} for guess #1: (2,4), (2,6), (2,7), (4,6), and (4,7).

Confirming match consistency

I'm verifying valid pairs for guess #1 with unique digits. Progress is steady and promising, with no conflicts so far.

Confirming consistency

I’m mapping out guess #2's potential positions to ensure two correct matches without conflicts. This aligns with scenario 1's partial code assignments. Progress is steady and promising.

Identifying inconsistencies

I’m curious about the potential matches for guess #2. Due to overlapping digits, there's no valid alignment with scenario 1's partial code assignments for guess #1's correct positions.

Analyzing guess implications

Taking a closer look at guess #1's potential positions and their overlap with guess #2's digits. Progressing through each scenario reveals unique combinations that avoid immediate conflicts, ensuring consistency.

Analyzing digit alignment

I’m examining guess #2's potential positions, ensuring they meet the distinct digits requirement and don’t overlap with guess #1's correct positions. So far, all tests seem consistent.

Synthesizing digit placements

I’m confirming valid placements for guess #2's digits, ensuring two non-adjacent matches and unique digits across positions. The code configuration aligns peacefully with established constraints.

Confirming consistency

I'm piecing together that digits in positions 2, 4, 6, and 7 for guesses #1 and #2 align perfectly with the code's constraints. This ensures each guess has distinct, non-adjacent positions.

Verifying guess correlations

I’m confirming each guess's digits and positions align correctly without conflicts. This ensures the code is accurate and valid for all constraints.

Verifying code accuracy

I’m checking digit placements to ensure each guess has two non-adjacent matches. It’s interesting to see that the digit positions align perfectly, confirming the code's authenticity.

Analyzing a new angle

I'm exploring a different angle on guess #1. Turns out, guess #2's digits don't align with the partial code, leading me to conclude it's not the right fit.

Confirming the right solution

I’ve identified the valid solution in scenario 1. Now, I’m checking if other scenarios yield the same or a different solution to ensure a comprehensive puzzle resolution.

Taking a closer look

I'm piecing together scenario 2, ensuring it aligns with the discovered code. Most puzzles have a unique solution, and 4053927 seems to be the valid answer.

Confirming accuracy

I’m ensuring each guess aligns perfectly with the final code, maintaining non-adjacent matches and distinct digits. Everything checks out, confirming 4053927 as the valid and unique solution.

Thought about 数字猜谜，持续 4m 16s