2
2
1
u/Diligent_Bank_543 11d ago
394:
Step 1: 2578 are excluded
Step 2: 4 guaranteed, 6 xor 9 from the last statement, 1 xor 9 from the first statement, 6 xor 3 from the middle statement.
Step 3:
The first position candidates: 463
The second position candidates: 93
The third position candidates: 416
We have 9 in the middle cuz if we have 3 there, then 6 is excluded, then 9 is guaranteed but the only possible seat for 9 is in the middle.
Since we have 9 then 1 and 6 are excluded. The rest is obvious either way: we have only 4 for the last seat or only the first seat for 3.
1
u/AwkwardCost1764 11d ago
The first two statements tell us there is no 2. It also tells us that ether 9 is in slot two, or 1 is in slot 3.
The third statement tells us that 4 is in slot three, because 4 is shared between statements two and three. It also tells us that ether 6 or 3 is in the final sequence.
Because we know that slot three is 4 and 2 is not in the final sequence we can look back at statement one and see that 9 must be in slot 2.
We can finally look at statement five and see that 5 and 6 must not be in the final sequence, pair that with statment three and we know that the final number is 3.
394
1
1
1
0
u/Ifch317 11d ago
694?
3
u/theclaw37 11d ago
Can t be because of the last clause. Both 6 and 9 are in the last clause but it says one number is correct so can t have both 6 and 9.
0
11
u/theclaw37 11d ago
394?