Call an integer a two-three integer if it is greater than 1 and has the form 2
a * 3
b, where a ≥ 0 and b ≥ 0.
Express 19992000 as a sum of two-three integers so that none of the addends divides another.
Source: Eighth Korean Mathematical Olympiad (Crux Math. Dec 1999)
(In reply to
re: computer-aided solution -- another number by Charlie)
These wouldn't fit in the preceding post:
0 12 5 10 6 9 8 8 9 7 10 6 12 5 14 4 15 3 17 2 23 0
0 12 5 10 6 9 8 8 9 7 10 5 11 4 19 2 23 0
0 12 5 10 6 9 8 8 9 6 11 5 13 4 19 2 23 0
0 12 5 10 6 9 8 7 15 5 16 4 17 2 18 1 19 0
0 12 5 10 6 9 8 7 15 5 16 4 17 1 21 0
0 12 5 10 6 9 8 7 15 5 16 3 18 2 19 1 21 0
0 12 5 10 6 9 8 7 15 4 19 2 23 0
0 12 5 9 7 8 10 7 15 5 16 4 17 2 18 1 19 0
0 12 5 9 7 8 10 7 15 5 16 4 17 1 21 0
0 12 5 9 7 8 10 7 15 5 16 3 18 2 19 1 21 0
0 12 5 9 7 8 10 7 15 4 19 2 23 0
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Posted by Charlie
on 2017-10-15 17:01:30 |