Alright, so I've got this puzzle here, and I need to figure out the correct sequence of four numbers. There are some clues provided based on different guesses, and each clue tells me how many numbers are correct and whether they're in the right position or not. Let's see how I can approach this.

First, I need to list out all the guesses and their corresponding clues:

1. **9 2 8 5** – One number is correct but in the wrong position.

2. **1 9 3 7** – Two numbers are correct but in the wrong positions.

3. **5 2 0 1** – One number is correct and in the right position.

4. **6 5 0 7** – Nothing is correct.

5. **8 5 2 4** – Two numbers are correct but in the wrong position.

Okay, so my goal is to find a four-digit number where each digit is unique, and it satisfies all these clues.

Let me start by analyzing the fourth guess: **6 5 0 7** – Nothing is correct. This means that none of these digits (6, 5, 0, 7) are in the correct number. So I can eliminate these digits from all positions in my possible solutions.

Wait a minute, but in the first guess, there's a 5, and in the third guess, there's a 5 as well. But according to the fourth guess, 5 is not in the correct number. But the first and third guesses say that one number is correct but in the wrong position and one number is correct and in the right position, respectively. How does that make sense if 5 isn't even in the correct number?

Maybe I misinterpreted the fourth clue. Let me read it again: "nothing is correct." So, none of the digits 6, 5, 0, or 7 are in the correct number. That means 5 is not in the correct number at all. But the first and third guesses have a 5 in them, and they say one number is correct but in the wrong position (for the first guess), and one number is correct and in the right position (for the third guess).

This is confusing because if 5 is not in the correct number, but the first and third guesses include a 5, which would suggest that 5 is a correct digit. There's a contradiction here.

Wait, maybe I need to think differently. Perhaps the clues are not considering the digits individually but as part of the sequence. Let me try to approach this step by step.

First, since the fourth guess says nothing is correct, I can eliminate the digits 6, 5, 0, and 7 from being in the correct number.

So, the correct number does not contain 6, 5, 0, or 7.

Now, looking back at the first guess: **9 2 8 5** – One number is correct but in the wrong position.

Since 5 is not in the correct number, the correct digit among 9, 2, and 8 must be in the wrong position.

Similarly, in the second guess: **1 9 3 7** – Two numbers are correct but in the wrong positions.

But 7 is not in the correct number, so the two correct digits must be among 1, 9, and 3, and they are in the wrong positions.

In the third guess: **5 2 0 1** – One number is correct and in the right position.

Again, 5 and 0 are not in the correct number, so the correct digit must be either 2 or 1, and it's in the right position.

In the fifth guess: **8 5 2 4** – Two numbers are correct but in the wrong positions.

5 is not in the correct number, so the correct digits must be among 8, 2, and 4, and they are in the wrong positions.

Let me try to compile all this information.

From the fourth clue, the digits 6, 5, 0, and 7 are not in the correct number.

From the first clue, among 9, 2, and 8, one digit is correct but in the wrong position.

From the second clue, among 1, 9, and 3, two digits are correct but in the wrong positions.

From the third clue, among 2 and 1, one digit is correct and in the right position.

From the fifth clue, among 8, 2, and 4, two digits are correct but in the wrong positions.

Let me consider the possible digits for each position.

Possible digits are 1, 2, 3, 4, 8, 9 (since 5, 6, 0, and 7 are eliminated).

Now, let's see if I can find any digits that must be in the correct number.

From the third clue, either 2 or 1 is in the correct position.

Let me consider two cases:

**Case 1:** 2 is in the correct position in the second position (since the third guess is **5 2 0 1**).

If 2 is in the second position, then in the first guess **9 2 8 5**, 2 is in the second position, but according to the first clue, one digit is correct but in the wrong position. However, if 2 is in the correct position in the second position, that would mean that in the first guess, 2 is in the correct position, which contradicts the first clue saying one digit is correct but in the wrong position. Therefore, 2 cannot be in the second position.

**Case 2:** 1 is in the correct position in the fourth position (from the third guess **5 2 0 1**).

If 1 is in the fourth position, then in the second guess **1 9 3 7**, 1 is in the first position, but according to the second clue, two digits are correct but in the wrong positions. If 1 is supposed to be in the fourth position, then in the second guess, it's in the first position, which is wrong, so that's consistent.

Also, in the fifth guess **8 5 2 4**, if 1 is in the fourth position, this guess doesn't include 1, so no conflict.

So, tentatively, let's assume that 1 is in the fourth position.

Now, with 1 in the fourth position, let's look at the second clue: **1 9 3 7** – Two numbers are correct but in the wrong positions.

Since 1 is in the fourth position in the correct number, but in the second guess, it's in the first position, which is wrong. So one correct digit is 1, but it's in the wrong position.

Therefore, there must be another digit in the second guess that's correct but in the wrong position.

So, among 9, 3, and 7, we need to find one more digit that's correct but in the wrong position.

But wait, according to the fourth clue, 7 is not in the correct number, so it's not possible that 7 is correct.

Therefore, the two correct digits in the second guess must be 1 and either 9 or 3, both in the wrong positions.

Since 1 is in the fourth position, in the second guess, it's in the first position, which is wrong.

Similarly, if 9 is in the correct number but in the wrong position in the second guess, it can't be in the second position.

Same for 3.

So, let's keep this in mind.

Now, let's look at the fifth guess: **8 5 2 4** – Two numbers are correct but in the wrong positions.

Since 5 is not in the correct number, and 1 is in the fourth position, so in this guess, among 8, 2, and 4, two are correct but in the wrong positions.

So, possible combinations: maybe 8 and 2, or 8 and 4, or 2 and 4.

But let's see.

From the first guess: **9 2 8 5** – One number is correct but in the wrong position.

Since 5 is not in the correct number, the correct digit must be among 9, 2, or 8, and it's in the wrong position.

If 2 is in the second position in the third guess and it's not in the correct position there, and now in the first guess, if 2 is correct but in the wrong position, then 2 is not in the second position.

Similarly, in the fifth guess, 2 is in the third position, but it's supposed to be in the wrong position there if it's correct.

Wait, but from the third guess, if 1 is in the fourth position, and 2 is not in the second position, where could 2 be?

Possibly in the first, third, or maybe not at all.

But according to the first clue, 2 is a possible correct digit in the wrong position.

Similarly, in the fifth guess, if 2 is correct but in the wrong position, then it's not in the third position.

So maybe 2 is in the first position or the second position.

Wait, but in the first guess, 2 is in the second position, and it's supposed to be in the wrong position.

So, if 2 is correct but not in the second position, it could be in the first, third, or fourth position.

But in the third guess, 2 is in the second position, which is supposed to be in the wrong position, but in that guess, only one digit is correct and in the right position, which is 1 in the fourth position.

So, in the third guess, 2 is not correct, or it's in the wrong position.

Wait, this is getting a bit tangled.

Let me try to summarize what I have so far:

- The correct number does not contain 6, 5, 0, or 7.

- The correct number contains 1 in the fourth position.

- From the second guess, besides 1, one more digit is correct but in the wrong position, which must be either 9 or 3.

- From the fifth guess, two digits are correct but in the wrong positions, which must be among 8, 2, and 4.

- From the first guess, one digit is correct but in the wrong position, which must be among 9, 2, or 8.

Let me consider possible positions for 1, which is in the fourth position.

Now, let's think about the possible digits for each position.

Possible digits are 1, 2, 3, 4, 8, 9.

First position: can't be 1, 5, 6, 0, or 7.

So possible digits: 2, 3, 4, 8, 9.

Second position: same as above.

Third position: same as above.

Fourth position: 1.

Now, let's consider the fifth guess: **8 5 2 4** – Two numbers are correct but in the wrong positions.

Since 5 and 4 are not in the correct number, but wait, 4 is not eliminated yet.

Wait, from the fourth guess, 6, 5, 0, and 7 are not in the correct number, so 4 is still a possible digit.

Wait, no, in the fourth guess, only 6, 5, 0, and 7 are said to be incorrect.

So, 4 is still a possible digit.

But in the fifth guess, **8 5 2 4**, two numbers are correct but in the wrong positions.

Since 5 is not in the correct number, and 4 is a possible digit, then the two correct digits must be among 8, 2, and 4.

So, possible pairs: 8 and 2, 8 and 4, or 2 and 4.

Let's consider each possibility.

**Subcase 1:** 8 and 2 are correct but in the wrong positions.

Then, in the first guess **9 2 8 5**, if 2 is correct but in the wrong position, and in the fifth guess, 2 is in the third position but supposed to be in the wrong position, so 2 cannot be in the third position.

Similarly, in the first guess, 2 is in the second position, which is supposed to be in the wrong position, so 2 cannot be in the second position.

From the third guess, **5 2 0 1**, 2 is in the second position, which is supposed to be in the wrong position, but according to the third clue, one number is correct and in the right position, which is 1 in the fourth position.

Therefore, in the third guess, 2 is not in the correct position, but if 2 is correct, it would have to be in a different position.

But in our subcase, 2 is correct, so it must be in a position other than the second position.

Similarly, in the fifth guess, 2 is in the third position, but it's supposed to be in the wrong position.

So, if 2 is correct, it cannot be in the second or third positions.

Therefore, the only possible positions for 2 are the first or fourth positions.

But the fourth position is already occupied by 1, so 2 must be in the first position.

Therefore, in this subcase, 2 is in the first position.

Similarly, 8 is correct but in the wrong position in the fifth guess.

In the fifth guess, 8 is in the first position, so if it's correct but in the wrong position, it cannot be in the first position.

So, 8 must be in a different position.

Possible positions for 8 are second or third positions.

But wait, in the first guess, **9 2 8 5**, 8 is in the third position, but according to the first clue, one digit is correct but in the wrong position.

If 8 is correct but in the wrong position, then in the first guess, it's in the third position, which is supposed to be wrong.

Therefore, 8 cannot be in the third position.

Therefore, in this subcase, 8 must be in the second position.

So, in this subcase, the number would be:

- First position: 2

- Second position: 8

- Third position: ?

- Fourth position: 1

Now, from the second guess: **1 9 3 7** – Two numbers are correct but in the wrong positions.

We've already placed 1 in the fourth position, which is correct and in the right position, but according to the second clue, two numbers are correct but in the wrong positions.

Therefore, the other correct digit must be either 9 or 3, but in the wrong positions.

In our current subcase, the number is 2 8 _ 1.

So, in the second guess, 1 is in the first position, which is wrong, so that's consistent.

Then, among 9 and 3, one of them must be correct but in the wrong position.

If 9 is correct, it cannot be in the second position because we've already placed 8 there, and if it's in the wrong position, it must be in the third position.

Similarly, if 3 is correct, it cannot be in the third position, so it must be in the first or second positions, but those are already occupied by 2 and 8, respectively.

Therefore, 3 cannot be the correct digit in this subcase, which means 9 must be the correct digit, and it must be in the third position.

So, updating our number:

- First position: 2

- Second position: 8

- Third position: 9

- Fourth position: 1

So, the number is 2 8 9 1.

Now, let's check if this satisfies all the clues.

1. **9 2 8 5** – One number is correct but in the wrong position.

In our number, 2 is in the first position, and in the guess, 2 is in the second position. So, 2 is correct but in the wrong position.

Similarly, 8 is in the second position in our number and in the third position in the guess, so 8 is correct but in the wrong position.

9 is in the third position in our number and in the first position in the guess, so 9 is correct but in the wrong position.

Only one of these should be correct but in the wrong position according to the first clue. But in our case, it seems like multiple digits are correct but in wrong positions, which contradicts the first clue.

Therefore, this subcase must be invalid.

**Subcase 2:** 8 and 4 are correct but in the wrong positions in the fifth guess.

So, in the fifth guess **8 5 2 4**, 8 and 4 are correct but in the wrong positions.

Therefore:

- 8 is in the first position in the guess but is supposed to be in the wrong position.

- 4 is in the fourth position in the guess but is supposed to be in the wrong position.

Since the fourth position is already occupied by 1, 4 cannot be in the fourth position.

Therefore, 4 must be in the first, second, or third positions.

Similarly, 8 cannot be in the first position.

So, possible positions for 8 are second or third positions.

But in the first guess **9 2 8 5**, if 8 is correct but in the wrong position, and in the first guess, it's in the third position, then in our number, 8 cannot be in the third position.

Therefore, 8 must be in the second position.

So, in this subcase:

- Second position: 8

- Fourth position: 1

Now, 4 must be in the first or third positions.

From the second guess **1 9 3 7**, two numbers are correct but in the wrong positions.

We've already placed 1 in the fourth position, which is correct and in the right position, but according to the second clue, two digits are correct but in the wrong positions.

Therefore, among 9 and 3, one must be correct and in the wrong position.

So, if 9 is correct, it must be in the wrong position, meaning not in the first position (since 1 is there), so it must be in the third position.

If 3 is correct, it must be in the wrong position, so it cannot be in the third position, which is already occupied by 9 in this scenario.

Therefore, 9 must be in the third position.

So, our number now is:

- First position: ?

- Second position: 8

- Third position: 9

- Fourth position: 1

Now, from the fifth guess, 8 and 4 are correct but in the wrong positions.

So, 4 cannot be in the fourth position, which is already 1, so it must be in the first position.

Therefore, first position: 4

So, the number is 4 8 9 1.

Now, let's check all the clues with this number.

1. **9 2 8 5** – One number is correct but in the wrong position.

In our number, 4 8 9 1:

- 9 is in the third position in our number and in the first position in the guess. So, 9 is correct but in the wrong position.

- 8 is in the second position in our number and in the third position in the guess. So, 8 is correct but in the wrong position.

- 4 is in the first position in our number and not in the guess.

Therefore, according to the first clue, only one digit should be correct but in the wrong position, but here we have two digits (8 and 9) that are correct but in the wrong positions. This contradicts the first clue.

Therefore, this subcase is also invalid.

**Subcase 3:** 2 and 4 are correct but in the wrong positions in the fifth guess.

In the fifth guess **8 5 2 4**, 2 and 4 are correct but in the wrong positions.

So:

- 2 is in the third position in the guess but is supposed to be in the wrong position.

- 4 is in the fourth position in the guess but is supposed to be in the wrong position.

But the fourth position is already occupied by 1, so 4 cannot be in the fourth position.

Therefore, 4 must be in the first or second positions.

Similarly, 2 cannot be in the third position.

From the first guess **9 2 8 5**, one number is correct but in the wrong position.

Since 5 is not in the correct number, the correct digit must be among 9, 2, or 8.

In this subcase, 2 is correct but in the wrong position in the fifth guess, meaning it's not in the third position.

From the third guess **5 2 0 1**, one number is correct and in the right position, which is 1 in the fourth position.

In the third guess, 2 is in the second position, which is supposed to be in the wrong position, so 2 cannot be in the second position in the correct number.

Therefore, in this subcase, 2 must be in the first or third positions, but in the fifth guess, it's in the third position and supposed to be in the wrong position, so 2 cannot be in the third position.

Therefore, 2 must be in the first position.

So, in this subcase:

- First position: 2

- Fourth position: 1

Now, 4 must be in the second position, since it cannot be in the fourth position.

Therefore:

- Second position: 4

- Fourth position: 1

Now, from the second guess **1 9 3 7**, two numbers are correct but in the wrong positions.

We've already placed 1 in the fourth position, which is correct and in the right position, but according to the second clue, two digits are correct but in the wrong positions.

Therefore, among 9 and 3, one must be correct and in the wrong position.

If 9 is correct, it cannot be in the first position (since 2 is there), so it must be in the third position.

If 3 is correct, it cannot be in the third position, so it must be in the first position, but that's already occupied by 2.

Therefore, 9 must be in the third position.

So, our number now is:

- First position: 2

- Second position: 4

- Third position: 9

- Fourth position: 1

Now, let's check all the clues with this number.

1. **9 2 8 5** – One number is correct but in the wrong position.

In our number, 2 is in the first position and in the guess in the second position. So, 2 is correct but in the wrong position.

9 is in the third position in our number and in the first position in the guess. So, 9 is correct but in the wrong position.

8 is not in our number.

According to the first clue, only one digit should be correct but in the wrong position, but here we have two digits (2 and 9) that are correct but in the wrong positions. This contradicts the first clue.

Therefore, this subcase is also invalid.

Since all subcases under the assumption that 1 is in the fourth position lead to contradictions, perhaps my initial assumption is incorrect.

Wait, maybe the third clue is not about 1 being in the fourth position.

Let me revisit the third clue: **5 2 0 1** – One number is correct and in the right position.

I assumed that 1 is in the fourth position, but maybe it's 2 in the second position.

But earlier, I thought that if 2 is in the second position, it would contradict the first clue.

Wait, perhaps I need to consider that possibility again.

**Alternative Case:** 2 is in the correct position in the second position.

So, in the third guess **5 2 0 1**, 2 is in the second position and is correct and in the right position.

Therefore, in the correct number, 2 is in the second position.

Now, let's see if this holds up with other clues.

From the first guess **9 2 8 5**, one number is correct but in the wrong position.

Since 2 is in the second position in the correct number, but in the first guess, it's in the second position, which is supposed to be in the wrong position according to the first clue.

Therefore, this is a contradiction because if 2 is in the second position in the correct number, then in the first guess, it's in the same position, which should mean it's correct and in the right position, but the first clue says one number is correct but in the wrong position.

Therefore, this alternative case is invalid.

Hmm, this is tricky. Both cases seem to lead to contradictions.

Maybe I need to consider that in the third clue, **5 2 0 1**, the correct digit is not 1 or 2, but perhaps another digit. But according to the fourth clue, 5 and 0 are not in the correct number, so it must be either 1 or 2 that is correct and in the right position.

But both possibilities lead to contradictions.

Wait a minute, perhaps I'm missing something.

Let me try to approach this differently.

From the fourth clue, we know that 6, 5, 0, and 7 are not in the correct number.

So, possible digits are 1, 2, 3, 4, 8, 9.

From the first clue: **9 2 8 5** – One number is correct but in the wrong position.

Possible correct digits: 9, 2, or 8.

From the second clue: **1 9 3 7** – Two numbers are correct but in the wrong positions.

Possible correct digits: 1, 9, or 3.

From the third clue: **5 2 0 1** – One number is correct and in the right position.

Possible correct digits: 2 or 1.

From the fifth clue: **8 5 2 4** – Two numbers are correct but in the wrong positions.

Possible correct digits: 8, 2, or 4.

Given that, let's try to find overlapping possibilities.

If I assume that 1 is in the correct number, from the third clue, it must be in the fourth position.

Then, from the second clue, two digits are correct but in the wrong positions: 1 is already in the fourth position, so the other correct digit must be among 9 or 3, and it must be in the wrong position.

From the first clue, one digit is correct but in the wrong position, among 9, 2, or 8.

From the fifth clue, two digits are correct but in the wrong positions, among 8, 2, or 4.

Earlier, I tried assuming 1 is in the fourth position and got contradictions, but maybe I need to refine that approach.

Let me consider the possibility that 1 is in the fourth position and 9 is in the third position.

So, the number is _ _ 9 1.

From the first clue, one digit is correct but in the wrong position, among 9, 2, or 8.

If 9 is in the third position, in the first guess it's in the first position, which is wrong, so that's okay.

Then, perhaps 2 or 8 is also correct but in the wrong position.

Suppose 2 is correct but not in the second position.

So, 2 could be in the first position.

Then the number would be 2 _ 9 1.

From the fifth clue, two digits are correct but in the wrong positions: 8, 2, or 4.

If 2 is in the first position, in the fifth guess it's in the third position, which is supposed to be wrong.

So, that's okay.

If 8 is correct but in the wrong position, it cannot be in the first position (already 2), third position (9), or fourth position (1), so it must be in the second position.

Therefore, the number would be 2 8 9 1.

Now, check the first clue: **9 2 8 5** – One number is correct but in the wrong position.

In our number, 2 is in the first position (guess has 2 in the second position), 8 is in the second position (guess has 8 in the third position), 9 is in the third position (guess has 9 in the first position).

So, three digits are correct but in the wrong positions, but the clue says only one is correct but in the wrong position. Contradiction.

Therefore, this assumption is invalid.

Alternatively, maybe 4 is correct but in the wrong position.

So, in the fifth guess **8 5 2 4**, if 4 is correct but in the wrong position, it cannot be in the fourth position (already 1), so it must be in the first, second, or third positions.

If I place 4 in the first position, then the number is 4 _ 9 1.

From the first clue, **9 2 8 5**, one digit is correct but in the wrong position.

In this case, 4 is not in the guess, 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position), and 2 and 8 are not in our number.

So, only 9 is correct but in the wrong position, which matches the first clue.

From the second clue, **1 9 3 7**, two digits are correct but in the wrong positions.

In our number, 1 is in the fourth position (correct and in the right position), so the other correct digit must be 9, but it's in the third position in our number and in the first position in the guess (correct but in the wrong position). So, that matches the second clue.

From the fifth clue, **8 5 2 4**, two digits are correct but in the wrong positions.

In our number, 4 is in the first position and in the guess it's in the fourth position (correct but in the wrong position), and 8 is not in our number.

Wait, 8 is not in our number, so only 4 is correct but in the wrong position, which is only one digit, but the clue says two digits are correct but in the wrong positions.

Therefore, this assumption is also invalid.

Hmm, this is frustrating. Maybe I need to consider that 4 is not in the first position.

Alternatively, maybe 8 is correct but in the wrong position in the fifth guess.

So, 8 is in the fifth guess in the first position, but it's supposed to be in the wrong position, so it must be in the second or third positions.

If I place 8 in the second position, the number is 4 8 9 1.

Then, from the first clue, **9 2 8 5**, one digit is correct but in the wrong position.

In our number, 4 is not in the guess, 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position), 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position).

So, two digits are correct but in the wrong positions, but the clue says only one is correct. Contradiction again.

Maybe 4 is in the third position.

So, the number is 4 _ _ 1.

From the first clue, **9 2 8 5**, one digit is correct but in the wrong position.

Possible correct digits: 9, 2, or 8.

If 9 is in the first position, then 2 and 8 are not in the number.

But from the second clue, **1 9 3 7**, two digits are correct but in the wrong positions.

With 9 in the first position and 1 in the fourth position, the other correct digit must be 3, but it's supposed to be in the wrong position.

So, 3 cannot be in the third position, but since the third position is empty, 3 must be in the second position.

Therefore, the number is 9 3 _ 1.

But then, from the fifth clue, **8 5 2 4**, two digits are correct but in the wrong positions.

In our number, 9 is in the first position, not in the guess, 3 is in the second position, not in the guess, and 1 is in the fourth position, not in the guess, so none of the digits in the fifth guess are in our number, which contradicts the fifth clue that two digits are correct but in the wrong positions.

Therefore, this assumption is invalid.

I'm starting to think that maybe my initial approach is flawed, or perhaps there's no solution that satisfies all the clues, which can't be the case because the problem must have a solution.

Maybe I need to consider that in the third clue, **5 2 0 1**, the correct digit is 2 but not in the second position.

Wait, earlier I thought that if 2 is in the second position, it contradicts the first clue, but maybe I need to see it differently.

Let me try again.

Assume that in the third guess **5 2 0 1**, the correct digit is 2 but not in the second position.

So, 2 is in the correct number but in a different position.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position.

If 2 is in the correct number but not in the second position, then in the first guess, 2 is in the second position, which is wrong, so that's consistent.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions.

Assuming 1 is in the fourth position, then the other correct digit must be 9 or 3 in the wrong positions.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions.

Possible correct digits: 8, 2, or 4.

Since 2 is correct but in the wrong position, it cannot be in the third position in the fifth guess, so it must be in the first, second, or fourth positions.

But the fourth position is 1, so 2 must be in the first or second positions.

If 2 is in the first position, then the number is 2 _ _ 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 2 is in the first position in our number and in the second position in the guess (correct but in the wrong position), and 9 and 8 are not in our number.

So, only 2 is correct but in the wrong position, which matches the first clue.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions.

In our number, 1 is in the fourth position (correct and in the right position), so the other correct digit must be 9 or 3 in the wrong positions.

If it's 9, it cannot be in the first position (already 2), so it must be in the third position.

Therefore, the number is 2 _ 9 1.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions.

In our number, 2 is in the first position (guess has it in the third position), which is correct but in the wrong position, and 4 is not in our number.

Therefore, only 2 is correct but in the wrong position, but the clue says two digits are correct. So, this is a contradiction.

Alternatively, if the other correct digit in the second guess is 3, it cannot be in the third position, so it must be in the second position.

Therefore, the number is 2 3 9 1.

Now, check the fifth clue: **8 5 2 4**, two digits are correct but in the wrong positions.

In our number, 2 is in the first position (guess has it in the third position, correct but in the wrong position), and 4 is not in our number.

Again, only one digit is correct, but the clue says two digits are correct.

Contradiction again.

This is really frustrating. I must be missing something.

Wait, perhaps 4 is one of the correct digits in the fifth guess.

So, in the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions.

If 4 is correct, it cannot be in the fourth position (already 1), so it must be in the first, second, or third positions.

But in our current number, 2 is in the first position, 3 in the second, and 9 in the third, so 4 cannot be in any of these positions.

Therefore, perhaps my assumption that 2 is in the first position is incorrect.

Maybe 2 is in the second position.

So, number is _ 2 _ 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position.

In our number, 2 is in the second position, and in the first guess, it's in the second position, which should be correct and in the wrong position, but that doesn't make sense because it's in the same position.

Therefore, this assumption is invalid.

I'm really stuck here.

Perhaps I need to consider that the correct number doesn't have 1 in the fourth position.

But that contradicts the third clue, which says one digit is correct and in the right position, and given that 5 and 0 are not in the correct number, it must be either 1 or 2.

But both lead to contradictions.

Wait, maybe both 1 and 2 are in the correct number, but only one is in the correct position in each guess.

This is getting too complicated. I think I need to try a different approach.

Let me list all possible four-digit numbers using the digits 1, 2, 3, 4, 8, 9, without repeating any digits, and then check which one satisfies all the clues.

Possible digits: 1, 2, 3, 4, 8, 9.

Total possible combinations: 6P4 = 360. That's too many to check manually.

This is impractical. Maybe I can narrow it down further.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions.

Possible correct digits: 1, 9, 3.

From the third guess **5 2 0 1**, one digit is correct and in the right position: 1 in the fourth position.

So, 1 is in the fourth position.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9, 2, or 8.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions: 8, 2, or 4.

So, possible digits in the correct number: 1, 2, 3, 4, 8, 9.

With 1 in the fourth position.

Let's consider that the correct number is _ _ _ 1.

From the second guess, two digits are correct but in the wrong positions: 1 is already in the correct position, so the other correct digit must be either 9 or 3, but in the wrong positions.

From the first guess, one digit is correct but in the wrong position: 9, 2, or 8.

From the fifth guess, two digits are correct but in the wrong positions: 8, 2, or 4.

Let's assume that the other correct digit in the second guess is 9.

So, 9 is in the correct number but not in the first position.

Therefore, 9 is in the second or third position.

From the first guess, one digit is correct but in the wrong position: if it's 9, it's in the first position in the guess, but in our number it's in the second or third position, which is correct.

Similarly, if it's 2 or 8, they must be in the wrong positions.

But this is getting too tangled.

Maybe I should look for the number that satisfies all the clues step by step.

Wait, perhaps I should consider that in the second guess **1 9 3 7**, two digits are correct but in the wrong positions, with 1 already in the fourth position.

So, the other correct digit must be either 9 or 3, but in the wrong positions.

If it's 9, it's not in the first position, so it must be in the second or third position.

If it's 3, it's not in the third position, so it must be in the first or second position.

Similarly, from the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions: 8, 2, or 4.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9, 2, or 8.

Let me consider possible combinations where 1 is in the fourth position.

Suppose the number is 3 8 9 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position), and 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, but the clue says only one digit is correct. Contradiction.

Another possibility: 2 8 9 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 2 is in the first position in our number and in the second position in the guess (correct but in the wrong position), 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position), 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position). So, three digits are correct but in the wrong positions, but the clue says only one digit is correct. Contradiction.

Another possibility: 4 8 9 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position), 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, but the clue says only one digit is correct. Contradiction.

Another possibility: 4 3 9 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position). So, only one digit is correct but in the wrong position, which matches the first clue.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions: 1 is in the fourth position in our number and in the first position in the guess (correct but in the wrong position), 3 is in the second position in our number and in the third position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, which matches the second clue.

From the third guess **5 2 0 1**, one digit is correct and in the right position: 1 is in the fourth position in our number and in the fourth position in the guess (correct and in the right position), which matches the third clue.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions: 4 is in the first position in our number and in the fourth position in the guess (correct but in the wrong position), but 8 is not in our number, and 2 is not in our number. So, only one digit is correct but in the wrong position, but the clue says two digits are correct. Contradiction.

Another possibility: 3 4 9 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 9 is in the third position in our number and in the first position in the guess (correct but in the wrong position). So, only one digit is correct but in the wrong position, which matches the first clue.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions: 1 is in the fourth position in our number and in the first position in the guess (correct but in the wrong position), 3 is in the first position in our number and in the third position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, which matches the second clue.

From the third guess **5 2 0 1**, one digit is correct and in the right position: 1 is in the fourth position in our number and in the fourth position in the guess (correct and in the right position), which matches the third clue.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions: 4 is in the second position in our number and in the fourth position in the guess (correct but in the wrong position), but 8 is not in our number, and 2 is not in our number. So, only one digit is correct but in the wrong position, but the clue says two digits are correct. Contradiction.

This is really challenging. It seems like every possible combination I try leads to a contradiction with one of the clues.

Wait, perhaps I need to consider that the correct number contains 4 and 8, satisfying the fifth clue.

So, maybe the number is 4 3 8 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 8 is in the third position in our number and in the third position in the guess, which should mean it's correct and in the right position, but the clue says it's in the wrong position. Contradiction.

Another possibility: 3 4 8 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 8 is in the third position in our number and in the third position in the guess, which should mean it's correct and in the right position, but the clue says it's in the wrong position. Contradiction.

Another possibility: 4 8 3 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position). So, only one digit is correct but in the wrong position, which matches the first clue.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions: 1 is in the fourth position in our number and in the first position in the guess (correct but in the wrong position), 3 is in the third position in our number and in the third position in the guess, which should mean it's correct and in the right position, but the clue says it's in the wrong position. Contradiction.

Another possibility: 8 4 3 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 8 is in the first position in our number and in the first position in the guess, which should mean it's correct and in the right position, but the clue says it's in the wrong position. Contradiction.

I'm really stuck here. It seems like every possible combination I come up with doesn't satisfy all the clues.

Wait a minute, maybe the correct number is 3 8 4 1.

From the first guess **9 2 8 5**, one digit is correct but in the wrong position: 8 is in the second position in our number and in the third position in the guess (correct but in the wrong position). So, only one digit is correct but in the wrong position, which matches the first clue.

From the second guess **1 9 3 7**, two digits are correct but in the wrong positions: 1 is in the fourth position in our number and in the first position in the guess (correct but in the wrong position), 3 is in the first position in our number and in the third position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, which matches the second clue.

From the third guess **5 2 0 1**, one digit is correct and in the right position: 1 is in the fourth position in our number and in the fourth position in the guess (correct and in the right position), which matches the third clue.

From the fifth guess **8 5 2 4**, two digits are correct but in the wrong positions: 8 is in the second position in our number and in the first position in the guess (correct but in the wrong position), and 4 is in the third position in our number and in the fourth position in the guess (correct but in the wrong position). So, two digits are correct but in the wrong positions, which matches the fifth clue.

Finally, from the fourth guess **6 5 0 7**, nothing is correct, which is true because none of the digits 6, 5, 0, or 7 are in our number. So, all clues are satisfied.

Therefore, the correct sequence is 3 8 4 1.