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Puzzle #10: Skyscrapers
Optimization
STAGE 1
Place the skyscrapers above, to the platform below, to form a rectangle shaped block by leaving a space of one square between each skyscraper.
RULES :
1) Skyscrapers can’t touch each other even with their corners.
2) There can’t be more than one square space between each skyscraper.
3) No part of the skyscrapers that between the edges of the blocks can be outside and inside the block.
Any part of any buildings should not be outside the block and there should not be any space between edge and building.
4) You don’t have to use all the skyscrapers. You can only form one block.
This means that: After forming a block, you can’t form any other block with the unused skyscrapers in any empty place on the platform.
The unused skyscrapers won’t change your score. You can rotate or mirror the skyscrapers.
STAGE 2
When you form a block that fits the rules, there will be a maze which has one
cell width between the skyscrapers.
You will enter the maze from any side of block , draw a line by changing
direction as much as possible and exit the block.
RULES :
5) You cannot exit from the same side which you enter the maze.
6) You cannot pass on same cell more than once. This also means that your way cannot intersect.
7) You can enter and exit only once. You cannot enter again when you exit to outside of the block.
SCORE CALCULATION
The red numbers show the number of floors of the skyscrapers and
the dark-blue numbers show the square meter of the skyscraper’s base.
You will get score at all cells on which you change direction at your way:
Draw the lines from the center of the cell on which you change direction,
to three ways except the way which you come from. (You don’t have to show these ways at your solution.)
Add to your score the square meter of each skyscraper only as much as you can see the floor count at the cell on which you stand.
Enter your total score at exit of the block as answer via the Answer link below.
You can get score again from the same skyscraper which you already got score before at your changing the directions.
(Of course, only the floor count as much as you can see at the cell on which you stand.)
For instance, You got the 99 score from a 9x11 skyscraper by seeing all the floors at one of your previous changing direction.
Then you are seeing again the same skyscraper at one of your next changing direction.
But, you can see only 2 floors of it because of another skyscraper which has 7 floors and
stands in front of that skyscraper. So, you can get 22 score.
But, You can get score only once, if you are at same cell even you are seeing the skyscraper with more than one direction. (Examine the sample score calculating attentively!)
Also you are
supposed to email
your solution
to either
turkzeka@turkzeka.com
or
yilmazekici@gmail.com
after entering your
answer within
24 hours.
You may send your
solution in any
common format such
as image, Excel,
Word.
Add your user name,
password and the
answer that you
entered to your
solution as well.
If you do not send
your solution within
24 hours and/or do
not add these
required info, your
answer will
not be accepted.
Don’t forget, you
can enter your
answer only once!
IMPORTANT!
The solutions of the
competitors whose
scores are less than
the rewarding limit
will not be
checked.
The competitors who
entered a different
score from their
solution will not
receive
any points
unless they realize
and send another
email for correction
within 1 hour after
entering the answer,
even the score(s)
is/are over the
rewarding limit.
POINTS:
The
owner(s) of the best
score will be
rewarded with 200
points,
and others who
achieve 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 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
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Click
here for Excel format.
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