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Next date with distinct digits
Can you find my friends' birthdayThe directions from another language?So how did the date go?Logic-grid puzzle. How do I have to interpret the clue?The Recruitment Office PuzzleFind the equality with all digitsMastermind with an errorPawns and DiscsWhat is the canonical age?Unlock an answering machine using minimum number of digits
$begingroup$
The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).
When is the next date that when written in this way has all eight digits different?
logical-deduction
$endgroup$
add a comment |
$begingroup$
The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).
When is the next date that when written in this way has all eight digits different?
logical-deduction
$endgroup$
add a comment |
$begingroup$
The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).
When is the next date that when written in this way has all eight digits different?
logical-deduction
$endgroup$
The date today is 7th June 2019, or 07/06/2019 (using the English DD/MM/YYYY ordering).
When is the next date that when written in this way has all eight digits different?
logical-deduction
logical-deduction
edited Jun 7 at 15:29
rnaylor
asked Jun 7 at 13:30
rnaylorrnaylor
1,2711922
1,2711922
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is
17/06/2345 in DD/MM/YYYY format.
Reasoning
Notice that the first M will either be $0$ or $1$.
If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.
Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
Hence the DD/MM part requires both $0$ and $1$.
After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.
$endgroup$
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
add a comment |
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1 Answer
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1 Answer
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$begingroup$
Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is
17/06/2345 in DD/MM/YYYY format.
Reasoning
Notice that the first M will either be $0$ or $1$.
If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.
Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
Hence the DD/MM part requires both $0$ and $1$.
After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.
$endgroup$
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
add a comment |
$begingroup$
Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is
17/06/2345 in DD/MM/YYYY format.
Reasoning
Notice that the first M will either be $0$ or $1$.
If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.
Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
Hence the DD/MM part requires both $0$ and $1$.
After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.
$endgroup$
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
add a comment |
$begingroup$
Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is
17/06/2345 in DD/MM/YYYY format.
Reasoning
Notice that the first M will either be $0$ or $1$.
If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.
Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
Hence the DD/MM part requires both $0$ and $1$.
After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.
$endgroup$
Rather remarkably, I wrote down this exact puzzle in my notebook a couple of years ago to which I think the answer is
17/06/2345 in DD/MM/YYYY format.
Reasoning
Notice that the first M will either be $0$ or $1$.
If it is $0$ then the first D will either be $1$ or $2$ or DD will be $31$.
If it is $1$ then either the second M will be $0$ or the second M will be $2$ and the day will contain a $0$.
Overall, this means that $0$ and either $1$ or $2$ must be used in the DD/MM part. If we don't want to skip to the next millenium, we need the $2$ for the beginning of the year.
Hence the DD/MM part requires both $0$ and $1$.
After that, we focus on the nearest year possible which comes from assigning the digits $3,4,5$ in order to century, decade and digit of the year.
It makes more sense to assign the $0$ to the month instead of $1$ but we cannot assign both since we cannot have a day without any of $0$, $1$ or $2$. Hence, we assign $6$ to the month and then $7$ to create the day.
edited Jun 7 at 13:52
answered Jun 7 at 13:36
hexominohexomino
53k4156248
53k4156248
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
add a comment |
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
8
8
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
$begingroup$
I can confirm that this is also the result of writing a dumb Python program to try future dates until it finds one satisfying the given condition.
$endgroup$
– Gareth McCaughan♦
Jun 7 at 15:04
add a comment |
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