TurkZeka 2007/2 Puzzle Competition


THE WAY WITHOUT THE MINE

                             
                             
                             
                             
                             
                             
                             
                             
                             
                             
                             
                             

1st. STEP :

Place the mines as much as possible into the cells at the platform above, based on the rules below.

THE RULES :

1) There can't be more than one mine at the same distances, at vertical and horizontal directions of any mine .

2) There can't be more than one mine at the same distances, at the diagonals of any mine.

3) At the end of the placement, there must be at least one mine at each columns and rows.

Invalid Placement (The Rule 1) Invalid Placement (The Rule 2)
   
Invalid Placement (The Rule 3) Valid Placement

2nd. STEP :

After the placement, draw a line as long as possible by moving on the platform without stepping on the mined cells.
You can move only horizontally and vertically, but not dioganally.
You can pass on any cell only once except the intersection.
If you pass twice on a cell because of the intersecting, this doesn't led to increase the count of the cells you pass on.

SCORE CALCULATION :

First, calculate the numerical value of the total mines you placed:

The numerical value of 1 mine is 1,

The numerical value of 2 mines is 1 + 2 = 3,

The numerical value of 3 mines is 1 + 2 + 3 = 6,

...................

The numerical value of 10 mines is 55.

Calculate your score by multiplying the numerical value of the total mines with the length of your line.

The line you drawn can intersect itself. But, each intersecting decreases your score as much as square of the total mine count.

If you can accomplish to join two tails of the line you drawn, you get extra 10% points of your score.

Analyze the sample solutions and score calculations, carefully.

SAMPLE SOLUTIONS AND SCORE CALCULATIONS:
 

  Total Mine Count

Numerical Value

Length Of The Way

Score

: 8

: 36

: 9

: 36 x 9 = 324

 

 

 

 


15 x 13 = 195

SCORE = 195

 

15 x 14 = 210

SCORE = 210 - 25 = 185

 

15 X 13 = 195

195 - 25 = 170

SCORE = 170 + 17 = 187

 

 

 

 

 

 

 

Enter your score as answer.
After you had entered your score, whether in the 24 hours solution sending period or whether you do not satisfy with your sent score and you had reached to the better one,
if you need you can send your new score with the solution file by using your second answer right. If you need you can use your third answer right with the same rules.

However, in your second answer, the sending day and the time of your answer
and the solution file will be taken to calculate your point and including your bonus points you will get %5 decreased points of your gained total points.

Also, in the same way, if you sent your third answer you will get %10 decreased points of your gained points which will be calculated according to the sent day and time of your solution.

Sending answer rights are limited with 3.
And no matter your last score is greater than the previous ones only the last answer will be taken to calculate your point.
Therefore, you should think of the advantages and the disadvantages of sending one more answer.

IMPORTANT!
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.

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" or "The bonus of the first 3 answer" will be given if the score is in the best (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.

If nobody send the answer in the first hour; the first competitior who send the correct answer in second hour gets 35 bonus points and the others get 20 bonus points.

If nobody send the answer in the first two hours; the first competitior who send the correct answer in third hour gets 35,
the second competitor gets 20 and the others get 10 bonus points.

If nobody send the answer in the first three hours; the first competitor who send the correct answer gets 35,
the second competitor gets 20 and the third get 10 bonus points. (No matter the entering time)

If there is only one correct answer in the first three hours, the competitor who send this correct answer gets 35 bonus points,
the first competitor of the other competitors who send correct answer after the first 3 hours gets 20,
the second competitior gets 10 and the others can't get this bonus point, they get only "Day Bonus".