Puzzle 7: The Calculation
Optimization
124 216 315 412 784
936 1248
The numbers above have two common properties.
First, find these two common properties, then with the numbers which have
minimum 2 digits and same properties, make a mathematical calculation; so that
the number which is the result of the calculation will have the same properties.
(You can also use the numbers at the top.)
THE RULES:
You cannot use the same number more than once in the calculation.
You have to use each of the signs "x", "/", "+" and "-" at least once in the
calculation.
But, you cannot use none of these signs more than four times.
The order of the calculations must be from left to right like calculator. (Not
mathematical ordinary)
None of the signs has priority. (Look at the example solution.)
You cannot use the paranthesis.
There cannot be "0" (zero) in the digits.
Attention ! Of course, that "There cannot be zero" rule is not one of the common
properties. But, this rule can be a clue for you to find the common properties
of the numbers.
ATTENTION !
The numbers like
527, 812, 3951, 3135, 2412 are invalid numbers for this puzzle since they have
only one of the common properties.
Find your score by multiplying the result of your score with the total digit
count (not including the result) of your calculation. (Look at the example
solution.)
A valid example solution: 312x36/432+264–128=162
Score: 162x14=2268
(Your score doesn't need have this properties.)
Answering Format:
Don't use space. First, enter your score, then enter the sign ":" and then enter
all calculation.
The answer for the example:
2268:312x36/432+264-128=162
POINTS:
The
owner(s) of the best
score will be
rewarded with 200
points, and others
who manage
to find
more than 3/5 of
the best score will
be rewarded
according to the
ratio based on the
best.
(If the best score
is 100, 61 will be
required in order to
be rewarded)
The solutions of the
competitors whose
scores are less than
the rewarding limit
will not be
checked.
The bonus of the
first 3-hours will
be given if the
score is in top 3
rewarded score.
Top solvers will be
rewarded with daily
bonus as usual (65,
60, 55, ... , 10, 5,
0),
but the others will
be rewarded with a
ratio based on
their score.
Also an
extra bonus of 75
points
will be distributed
among the top
solvers.
The 2nd best
solver(s) will
receive the half of
a share of the 1st
best solver(s).
The 3rd best
solver(s) will
receive the half of
a share of the 2nd
best solver(s).
For example, let’s
assume 3 competitors
found the 1st best
score,
5 competitors found
the 2nd best score
and 9 competitors
found the 3rd best
score;
Three 1st best
scorers will receive
75 / 3 = 25 extra
points
Five 2nd best
scorers will receive
25 / 2 = 13 extra
points
Nine 3rd best
scorers will receive
13 / 2 = 7 extra
points