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Sorry, lunch hour la office lerndhu post pannadhaala answer complete panna mudila.. anyway the answer should be easy once you know what shape you are going to get, which I described in my previous post.Quote:
Originally Posted by GP
There are several routes for this, the one which I jotted down in my paper is:
1-2-6-7-3-4-8-7-11-12-16-15-11-10-14-13-9-10-6-5-1
21 is correct. There is more than one solution! :) This is an IQ test problem. Those who take it have no clue about graph theory ! :)
Thanks Benny Lava for taking me back to the days when I taught some graph theory and even used it ( isomorphic graphs) in chip design ! :)
Stress relief (?) !
Try connecting those 16 dots in a 4x4 matrix with minimum number of lines! I am sure you did it with 9 dots in a 3x3 matrix! :)
15?
1-2-3-4-8-12-16-15-14-13-12-9-5-6-7-11-10
No! You have to think outside the box as you did with 9 dot matrix. There is no vertical and horizontal line restriction! :)Quote:
Originally Posted by kirukan
Six lines is the least I could think of. Is that the answer?Quote:
Originally Posted by rajraj
:lol: Sorry, Konigsberg bridge problem was the first thing that came to my mind when I understood your question. Naturally I ended up using it's solution as an analogue.Quote:
Originally Posted by rajraj
I hope I haven't posted this one before. Below is a minor modification of the concept of crossword puzzles. Instead of guessing the words, you will have to guess numbers to fill up the blank cells. There exist only one unique solution to this puzzle which can be arrived at purely using common sense. To avoid Googling, the names of the characters in clues have been changed. Please do not Google for answer.
Below are the conversion table for those who are not familiar with the units:
20 shillings = 1 pound sterling
1 acre = 4840 square yards
1 rood = ¼ acre
1 mile = 1760 yards
The puzzle was composed in early 20th century, so keep that in mind when estimating years. I found it pretty enjoyable and challenging too. So have fun :wink:
ACROSSCode:##################################################
# 1 # # 2 # 3 # ######## 4 #
# # # # # ######## #
# # # # # ######## #
# # # # # ######## #
# # # # # ######## #
# # # # # ######## #
##################################################
# ######## # 5 ######## 6 # #
# ######## # ######## # #
# ######## # ######## # #
# ######## # ######## # #
# ######## # ######## # #
# ######## # ######## # #
##################################################
# ######## ######## 7 # # #
# ######## ######## # # #
# ######## ######## # # #
# ######## ######## # # #
# ######## ######## # # #
# ######## ######## # # #
##################################################
######## 8 # # 9 # ###############
######## # # # ###############
######## # # # ###############
######## # # # ###############
######## # # # ###############
######## # # # ###############
##################################################
# 10 # ######## 11 # # 12 # 13 #
# # ######## # # # #
# # ######## # # # #
# # ######## # # # #
# # ######## # # # #
# # ######## # # # #
##################################################
# ###################### 14 # # #
# ###################### # # #
# ###################### # # #
# ###################### # # #
# ###################### # # #
# ###################### # # #
##################################################
# 15 # ######## 16 # ######## #
# # ######## # ######## #
# # ######## # ######## #
# # ######## # ######## #
# # ######## # ######## #
# # ######## # ######## #
##################################################
1. Area in square yards of Pig Farm.
5. Age of Farmer Ronnie’s daughter,
Celia.
6. Difference in yards between the length
and breath of Pig Farm.
7. Number of roods in Pig Farm
multiplied by 9 Down.
8. Date (A.D.) when the Ronnie family
originally bought Little Pigley.
10. Farmer Ronnie’s age.
11. The year of birth of Melissa, Farmer
Ronnie’s youngest.
14. The perimeter in yards of Dog’s
Mead.
15. The cube of Farmer Ronnie’s walking
speed in miles per hour.
16. 15 Across minus 9 Down.
DOWN
1. The value in shillings per acre of
Pig Farm.
2. The square of Mrs. Howard’s (Farmer
Ronnie’s mother-in-law’s) age.
3. Age of Melissa (see 11 Across).
4. Value of Pig Farm in pounds
sterling.
6. The age of Farmer Ronnie’s first-born,
Ted, who will be twice as old as Melissa
next year.
7. The square of the number of yards in
the breadth of Pig Farm.
8. The number of minutes Farmer Ronnie
takes to walk one and a third times
around Pig Farm.
9. See 10 Down.
10. 10 Across times 9 Down.
12. One more than the sum of the digits
in the row marked by the arrows.
13. The length of tenure in years of Little
Pigley by the Ronnie family.
7 is the answer given by the author of the book from which I took the problem. He asserts that it can not be done with less than 7 lines. I don't know whether there is a later edition of the book with 6 as the answer.Quote:
Originally Posted by Benny Lava
Please provide me a description of the lines with node numbers.
Thanks! :)
Cartesian co-ordinates for the solution would be like:Quote:
Originally Posted by rajraj
0,3
4,3
-1,0
4,0
0,4
0,1
2,1
The 16 grid points are between (0,0) to (3,3)
Thanks! I have to draw it to check! :)Quote:
Originally Posted by Benny Lava
Bebnny Lava: Please check the coordinates! :)
Benny Lava, you have altered the Dogsmead puzzle right?
It was posted long time back in this thread. After almost a month of try I had put the answer.
Not in the mood to try it again.
GP: Please verify whether this one is repeated. In that case I won't try. Even otherwise this puzzle gives a lot of clues ! :lol:
Dogsmead?
yes master. it is the same.
BTW, is Benny Lava = thamizhvaanan?
Both have given the same puzzle and have same avatar? :roll:
Oh yeah! So my memory was right! :PQuote:
Originally Posted by GP
I was too lazy to check whether I have already posted it :lol:
Anyway, people who haven't tried it can give a fresh try.
But I see that in your solution farmer Dunk's daughter is older than him.. when are you going to fix that? :twisted: It is impossible unless of course if she had a Time travel machine :lol2:
I checked again :roll:Quote:
Originally Posted by rajraj
The 4 x 4 matrix is formed by the co-ordinates 0,0 to 3,3. How can I draw it here? :(
BTW previous puzzle thread 100 pages mudinju indha thread aarambichirukeenga nu nenachEn.
but that thread has just 6 pages. adhukkulla avasarapattu pudhu thread aarambichadhu yaaru?
Diwali kulla fix panrEn, adhu varaikkum yaarum answer sollaama irundhaa.Quote:
Originally Posted by Benny Lava
Then its 7Quote:
Originally Posted by rajraj
1-2-3-4
4-8-12-16
16-15-14-13
13-9-5
5-6-7
7-11
11-10
Is it right r still i have to go out of box.
I tried to plot it in excel. Please check the screen shot below:Quote:
Originally Posted by Benny Lava
http://i34.tinypic.com/2w21quo.png
Start from lower right corner of the 4x4 grid.
Correct! If you went out of the box(grid) you will get another solution! :)Quote:
Originally Posted by kirukan
Your solution crosses a line already drawn which is not permitted as stated in the very first connection puzzle. Try again ! :)Quote:
Originally Posted by Benny Lava
Let us move from squares to circles and balls! :)
A 40 cm diameter ball is on the floor touching a wall leaving a gap where the perpendicular wall joins the floor. Can a ball with 7 cm diameter pass through the gap (between the ball, the floor and the wall) ?
Radius of ball 20cm.
According to Pythagoras,
Distance between centre of ball and the edge of wall = 28.28 cm (sqrt(20^2+20^2)).
Of this 28.28cm, 20cm is already covered by the ball.
So a ball with diameter less than 8.28cm can pass through the gap.
Was a nice stress relief.
http://i38.tinypic.com/jazw2v.jpg
Oh! I didn't know that we shouldn't cross any line.. but then, with that constraint even the 9 dots puzzle has no solution.. right? :)Quote:
Originally Posted by rajraj
If a line goes through a dot it is not considered crossing a line. If it crosses between dots it is considered crossing a line! :) You could try something similar to the solution for 9 dot puzzle ! :)Quote:
Originally Posted by Benny Lava
Raj master, ball puzzle answer panni rukkEn.
paarthuttu correcttA nu sollunga.
8.28 cm is the distance between the large ball and the corner where the wall meets the floor. What is the distance between that corner and the largest smaller ball that can go into that gap? :)Quote:
Originally Posted by GP
I am sorry I dd not scroll back to see any solutions posted ! :)
I can't figure it out, unless I am allowed to retrace my path along one of the lines. Could you post the solution please?Quote:
Originally Posted by rajraj
Expand the grid to (5x5) still retaining only 4x4 dots and shifting them by one unit in both coordinates. Now, you have two points (0,4) and (4,0) which are not dots. The solution contains the line connecting these two points. This line connects three of the off main diagonal dots in the 4x4 dot matrix. It should be easy now! :) The solution does not retrace any line!Quote:
Originally Posted by Benny Lava
Benny Lava: When you gave your first solution you had (4,0) and (0,4) as two of the points. I thought you had the solution and asked you to check ! :)
Rajraj,Quote:
Originally Posted by rajraj
To me it looks impossible. Please post your complete solution.
Benny Lava,
I think you are trying to modify the solution you gave in the picture. Start all over again with the clue I gave! I am sure you will find it! If not I will post the solution! :)
Let me clarify whether my assumptions are right.Quote:
Originally Posted by rajraj
1. I am not allowed to retrace my path
2. Paths cannot overlap
3. It is a continuous path, i.e, I have to draw the path without lifting my pen.
Is that so?
Yes! Also you can not cross a line except at a dot ! :) When I said 'outside the box' to kirukan I meant going outside the 4x4 dot matrix ! :)Quote:
Originally Posted by Benny Lava
Andha naalavadhu point thaaney idikudhu :lol:Quote:
Originally Posted by rajraj
Anyway, my reasoning goes like this:
1. The first stroke you described (4,0) to (0,4) covers the 3 off-diagonal dots.
2. Since there are no intersections, drawing lines along both off-diagonals parallel to the anti-diagonal is ruled out but drawing the anti-diagonal is still a possibility. From here let us branch into two possibilities:
a) We draw an anti-diagonal: Now we cannot draw a main diagonal since it would intersect. Now consider the two middle points in main diagonal (1,2) & (2,1). To cover these points we require no less than 4 lines which leaves us only one line to cover other dots, definitely some would be left off.
b) We do not draw an anti-diagonal: To cover the same two middle points, we can only use vertical lines or connect by drawing main diagonal (lines perpendicular to it would intersect) Both the cases would have already consumed 4 strokes. It is impossible for the last stroke to cover rest of the dots.
So it seems like it is possible to connect the dots by just using 6 lines with above constraints. Am I missing something here? :oops:
. --o--- o----o---o <---- Start here at (4,4)
.....o.....o.....o.....o
.....o.....o.....o.....o
.....o.....o.....o.....o
..........................<--- from (0,4) draw a diagonal line to (4,0)
You have drawn two lines so far connecting 7 dots!
Now use only vertical and horizontal lines to complete the solution! :) ( Remember crossing a line at a dot is permissible! )
This vaathiyaar is very patient but a little bit demanding ! :lol: Not a great artist ! :)
Should be the same? A ball with diameter less than 8.28cm can pass through the gap. :huh:Quote:
Originally Posted by rajraj
Or should I think out of the box? :think:
If a large ball left a gap near the corner for a smaller ball, the smaller ball will also leave a gap near the corner for a still smaller ball ! :)Quote:
Originally Posted by GP
Now you don't have to think outside the box! The equations get a little more complex ! A little more stress ! :)