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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 ...
Rand al'Thor's user avatar
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 ...
micsthepick's user avatar
  • 3,761
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 ...
Ben Aveling's user avatar
  • 1,173
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 ...
CAS's user avatar
  • 1,156
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 ...
SQB's user avatar
  • 5,158
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 ...
Kevin's user avatar
  • 1,283
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 ...
warspyking's user avatar
  • 14.5k