TurkZeka 2006/2 Puzzle Competition

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!)

INVALID PLACING:
(RULE 2)
INVALID PLACING:
(RULE 3)
   
INVALID SOLUTION:
(RULE 5)

VALID SOLUTION:

   
 

SCORE CALCULATION:

1) 28 + 24 + 66

=

118
2) 28 + 24 + 66 + 12 = 130
3) 66 + 12 = 78
4) 28 + 48 = 76
5) 108 + 48 + 48 = 204
6) 48 + 66 = 114
7) 66 + 36 = 102

SCORE = 822


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


Click here for Excel format.