In honor of Olof Palme’s birthday, January 30

Question

Olof Palme, the prime minister of Sweden, was born on January 30, 1927.

Each Swedish flag can be assigned arbitrary digit.

Jarvis · Accepted Answer · 2023-01-30 11:34:13Z

6

The answer is,

Start noting that

every multiple of 30 has a 0 at the end.

Notice that the number right below P can be

3 or 6, but it cannot be 9 because P>9. Therefore O is either 1 or 2.

.. but O=1 leads to contradiction.

So O=2.

Then some digits can be filled up immediately.

And finally

F=1,2, or 3 but since different letters represent different digits, only 3 leads to a valid solution.

answered Jan 30, 2023 at 11:34

Jarvis

3362 silver badges7 bronze badges

$\begingroup$ Very nice. One thing you seemed to have overlooked: The circled number in your second spoiler is the value of E, and that leaves only one option for O. $\endgroup$
– Daniel Mathias
Commented Jan 30, 2023 at 23:13
$\begingroup$ Ah yes, I missed that. Thank you. $\endgroup$
– Jarvis
Commented Jan 31, 2023 at 3:54

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gabbo1092 · Accepted Answer · 2023-02-08 14:36:45Z

Computer based solution:

Div1 Results Set 1 baseX = 10

Solution 1:
NonParticipants
Digits: 4 5
At Loop 192071
Time elapsed: 00:00:00.0895476.

2623 ------ 30 | 78691 -60 -- 186 -180 --- 69 -60 -- 91 -90 -- 1

Solution 2:
NonParticipants
Digits: 4 5 9
At Loop 193071
Time elapsed:
00:00:00.0907272

2621 ------ 30 | 78631 -60 -- 186 -180 --- 63 -60 -- 31 -30 -- 1

1680000 Loops
Time elapsed:
00:00:00.5145666

_{resolved by:
https://play.google.com/store/apps/details?id=com.companyname.razkmoshed}

2 Answers 2