Puzzle Description Suppressed:Click below to view spoilers

#1: valerie o..travis (bigblue) on Feb 10, 2014

i see a bird :)

50 mp körül volt... R4C1-C3-ra néztem a valószjnűségi változót. Jelentős volt a különbség, tehát nem volt kérdés.
Ez a módszer! :)

You might want to go to Find Puzzles and check out the number of 5 x 5 puzzles. I stopped counting at 375. My math statistics are a bit rusty but it kind of indicates that just about everything that can be done with a 5 x 5 has already been done. The only change to some designs would only be adding or changing colors.:)

a dunce who lost the top of his hat?

The numbers are rather astronomical, actually.

I counted 147 5x5 2-color puzzles. The possible combinations for a 5x5 puzzle (two-color only) is 2^25 or 33,554,432. Even if a full three quarters of them were excluded for being poor puzzles, there would still be around 57,000 TIMES more than what we have to date (8,388,608 to be specific).

There seem to be a further 200 3-5 color puzzles already created. There is an even more huge number of possible puzzles. 5^25 or 2.98x10^17, or 298,023,220,000,000,000. Even if the unlikely amount of 99% of these were bad puzzles it would take you 9.4 million CENTURIES to look at the rest at one puzzle per second.

This is actually a good, hard puzzle if not a good picture.

I have not found a ML solution, but with deep lookahead you can do:

After c2r4 and c4r2 are marked with LL,

The 1 in r4 can go in two places. If it were to go in c4, then:
> that forces the 2 in r4 into c1; and makes r4c3 white which
> then makes c3r2 black which
> forces the 1 in r2 into c1
= with r2 and r4 black, there is a conflict with the 2 clue in c1.
Since the 1 cannot go in c4, it must go in c5.

LL gets you another black and four whites.


and another bit of DL,

The 1 in c2 can go in two places. If it were to go in r2, then:
> that forces the 2 in c2 into r5; and makes r2c3 white which
> then forces the 2 in c3 into r3-4 which all
> makes r1c2-5 white
= leaving no room for the 2 in c1.
Since the 1 cannot go in r2, it must go in r1.

Then LL to finish.

joe, i was discouraged until i noticed that your math is off by a decimal place. 940,000 centuries...which is MUCH more doable ;)

Yup: 944,378 centuries, 60 years, 324 days, 11 hours, 5 minutes and 31 seconds; but that leaves no time off for good behavior.

i'll have my "good behavior" time during the 1.1259 quadrillion seconds i save by skipping the ones that don't have any white in them.

also, i'm glad i'm not the only one that uses 365.25 as my default "year" in calculations :)

No, no, David. Remember that we've already kicked out 99% of the puzzles - presumably for that reason, among others. So no snoozing!

365.25 is certainly close enough. I'm certainly not going to count the leap-day off every 100 years, much less the one that's actually NOT off every 400 years. And don't even consider the countless (and fairly random) leap-seconds added and sometimes subtracted by the Time People.

So... 365.24999?

More like 365.2425
365days/year * 400years = 146000days
146000days + 100leapdays = 146100days
146100days - 4 century leapdays = 146096days
146096days + 1 every-fourth-century leapday = 146097days
146097days / 400years = 365.2425 days/year

And now you've made me do it. And with such a nice decimal, I might even remember it.

oh no

Oh, yes. See what she's done?!? She's gone and added 20 CENTURIES to the time!

944,398.00103936883701569150277885 centuries it will take now.
To break it down, that's 944,398 centuries, 37 days, 23 hours, 5 minutes and 31 seconds.

Wow!

...OR we just adjust how long we spend on each puzzle so that we don't have to spend those extra 20 centuries. that'll free up some time in case we want to do a larger puzzle occasionally.

If you can adjust your time on a 5x5 downward from ONE SECOND each, with no break in between, then I'm very impressed.

i'm sure it's an insignificant adjustment :)

^^Nerds :)

No matter where you place the 2 in R1, R2C2 will be a dot. LL to finish.

Found to be solvable with moderate lookahead by gator.

It's a special plane to be on when Gator calls you a nerd! ;)

Comment Suppressed:Click below to view spoilers

Show: Spoilers

Goto next topic

You must register and log in to be able to participate in this discussion.