Jump to content
BrainDen.com - Brain Teasers
  • 0

5x5 statement table.


jasen
Go to solution Solved by Logophobic,

Question

Statement table.

3 2 1 4 1
2 3 3 3 3
3 4 6 4 4
2 3 4 4 3
1 1 2 4 3

Above 5x5 table contains numbers.
A number at each cell represent a statement.

x : This cell is surrounded by x True statements.

So if the number is 3 means the cell is surrounded by 3 True statement
We can say all statemets are false, but this is not what I want.
Some statements are true and some are not.

Create another 5x5 table with boolean (T/F) input,
to show which statements are true, and which statements are false.

example for 2x2 table.

1 3    ->  T F
0 1        F T

I have checked there is only 1 solution.
Find the solution !

Link to post
Share on other sites

10 answers to this question

Recommended Posts

  • 0

If top-left corner (3) were true, then the three surrounding statements must also be true, and that implies that each of those is surrounded by at least three true statements. Since two of those statements claim to be surrounded by only two true statements, we have a contradiction. This proves the top-left corner to be false. There are others that can also be proven false, but I haven't had time to work out the full solution.

Link to post
Share on other sites
  • 0

@ Phill, to make the question clear, I will explain the example

1 3    ->  T F
0 1        F T

 

(1,1) is true because the cell, is surrounded by 1 true statement (2,2)

(1,2) is false because the cell is not surrounded by 3 true statement, it only surrounded by 2 true statement (1,1) & (2,2)
(2,1) is false because the cell is not surrounded by 0 true statement, it surrounded by 2 true statement (1,1) & (2,2)
(2,2) is true because the cell, is surrounded by 1 true statement (1,1)

Link to post
Share on other sites
  • 0

@ bonanova

If you mean same puzzle with different numbers, you can create  It is easily, but maybe the solution is not unique.

if you mean different puzzle with T/F statement, I do not have, but I wiil create it, with another shape, maybe hexagon, triangle, or  etc.

Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...