All Questions
Tagged with solvability mathematics
7 questions
17
votes
4
answers
1k
views
How many possible starting positions are uniquely solvable for a nonogram puzzle?
This type of puzzle goes by many names: Nonogram, Picross, and Griddlers are all mentioned on the Wikipedia page, Simon Tatham calls it Pattern, I was introduced to it as Descartes Rainbow, ...
The ...
7
votes
2
answers
2k
views
Number sequence solving strategies
Number sequences are one of the oldest puzzle categories in the book. You would find it hard to look through a days worth of puzzles posted here and to not find any puzzles that involve some sort of ...
3
votes
2
answers
368
views
Tony Horncastle's number
When Tony Horncastle wakes up, and sees the digital clock, he need to reach that number using 75, 25, 1, 3, 5, 7.
For example, 4:37 could be (75 - 3) x (7 - 1) + 5.
Tony believes that there is ...
7
votes
3
answers
5k
views
Does AAA+BBB+CCC+DDD=ABCD have a solution for distinct digits A,B,C,D?
I was asked to solve the following sum:
AAA
BBB
CCC
DDD
--------
ABCD
What I managed to found is that ...
8
votes
1
answer
421
views
Visualise Whirled Peas
My eldest came home with some interesting maths homework.
We have three bowls containing peas.
Distribute the peas evenly across the bowls, by moving peas from one bowl to another. The only ...
16
votes
5
answers
2k
views
Should the angels play their game?
Two angels in heaven want to play a game. One of them comes up with an arbitrary, computable function from the integers to the integers. The other angel has to guess what it is. The second angel can ...
4
votes
1
answer
678
views
Check to see if a Configuration is Possible: prove there's an Hamiltonian path on a connected subset of the square grid graph
Alright, here's a new one for you guys. Instead of solving it, you need to determine if any given configuration is possible to solve, without actually solving it. It needs to be a general method of ...