Sroan 有一个私人的保险箱，密码是 7 个 不同的数字。 Guess #1: 9062437 G...

Decoding the password

The puzzle provides four guesses, each with 7 digits, and some helpful clues. For each guess, two positions have the right digit in the correct position, but those two digits are never adjacent.

I'll need to systematically examine all positions across the guesses to figure out which digits are correct and where they fit, ensuring they follow the given rule about adjacency. It might take some trial and error to narrow down the password!

Analyzing the guesses

We have four guesses, each with two correct digits in the correct position, and those correct positions are not adjacent. The password digits are distinct, so for each guess, only two positions match exactly, and we need to figure out which ones, using the constraint that no adjacent positions can be correct.

I'll focus on comparing the guesses and testing these rules to work out where the correct digits in the series belong. It’s a tricky puzzle, but I’ll get there!

Solving for the password

The puzzle involves four guesses, each with exactly two correct digits in the right positions, and none of the correct positions are adjacent. To solve, I'll start by analyzing the possible digits for each position. For example, for position 1, the digits from each guess are 9, 8, 4, and 3. Using systematic elimination and ensuring no adjacent correct positions, I'll test out various possibilities. There are multiple constraints to consider, but each guess helps narrow down the options, so I’ll work through it logically.

Tracking possible digits

The task involves finding the correct 7 digits under the conditions that in each guess, exactly two positions are correct and not adjacent. From the sample positions, I'll check the frequency of each digit across guesses and deduce which digit appears consistently in each position. For example, at position 5, both Guess 3 and Guess 4 suggest “9," which might indicate that the correct password digit for position 5 is 9. I’ll have to continue this process for all positions systematically.

Assigning positions to guesses

The puzzle boils down to assigning correct positions to each guess while ensuring that positions 1,2,3,4,6,7 are each correct in one guess, and position 5 is correct in both Guess 3 and Guess 4 with the digit "9." Since no two correct positions can be adjacent, I can now start filling in these positions systematically. Each of Guess 1 and Guess 2 needs two correct positions among {2, 3, 4, 6, 7}, while Guess 3 and Guess 4 each need one additional correct, which I’ll test against available options.

Resolving guess assignments

The goal is to assign the correct guesses to each position, considering nonadjacency constraints. For position 1, we have three possible guesses to choose from. For positions 2 to 7, possible candidates are also selected based on unique nonadjacent positions. After eliminating certain possibilities (like 9 in multiple places), the goal is to balance the remaining two guesses while making sure no guess repeats in an invalid position. Next, I plan on matching the candidate digits accordingly and resolving conflicts for positions 4 and 6.

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Reasoned for 1m 41s