Since we have Sweden, the title is something like MALMO 24.
(I solved this with software, but a non computer solve was also completed below).
97R5148456 is EUROVISION
And Eurovision 2024 begins today:
May 7, 2024
Location: Malmö
Call the individual carries over VOICE as abcde.
abcde
VOICES
NOISES
--------
SWEDEN
V,N,S are not zero
From 1st column, S>N
Since ES + ES ends with EN, either E=0 and carry e=0, or E=9 and carry e=1.
case E=0: SN = {12, 24, 36, 48} but S>N so E=0 is out
case E=9: SN = {62, 74, 86}
E=9, carry e and carry d are both 1
Since I + I + carry c = E = 9, carry c = 1 and I = 4 (9 is taken)
E=9, I=4, SN = {62, 86} carries c,d,e = 1 carry b = 0, W is even
W can be {0, 2, 6, 8} (one of S or N must be 6)
a0111
VO4C9S
NO4S9S
---------
SW9D9N
Again looking at 1st column, we know S-N is either 2 or 4.
So aV can be {02, 11, 13} (4 is taken)
V in {1,2,3}
Suppose case: SN = 62
a0111
VO4C96
2O4696
-------
6W9D92
C>2 and 1+C+6=10+D; D = C-3;
the largest D can be is 8, so CD in {30,52,63,85}
and if SN = 62, there are only two choices for CD: {30,85}
OW could be {24,36,48,50,62,74,86,98} but 4&9 are known so half are elimintated: {36,50,62,86} and if SN = 62, there is only one choice for OW: 50
CD: {30,85} and OW: 50 contradiction, so SN is not 62.
Therefore SN = 86
a0111
VO4C98 V is {1,2}
6O4898 1+C+8 = 10+D; D=C-1; C,D are not 4,6,8,9
------- CD can be {10,21,32}
8W9D96 OW can only be {50}
CD cannot be 10 since W=0
CD cannot be 21 since V is {1,2}
So CD is 32 and V is 1
154398
654898
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809296
The key word is EUROVISION
|
Posted by Larry
on 2024-05-07 18:39:03 |