Math Is Fun Forum

Roman numerals (C/C/I):

ONE:

400:

169,196,961:

9+0:

9-8:

10-9:

81-0:

6^0, 8^0, 9^0, 10^0:

6/6:

8/8:

9/9:

Hi Bobby;

Very limiting, that is.

Marsling and earthling twins, first revealed and announced here on MIF!

I have a Sony camera with a little telescopic lens, and an imagination that fills in any missing information that my camera may not have picked up for one reason or another.

I don't know how good the viewing is from here. All I know is that viewing the heavens is best done at night, but that's when I'm either asleep in bed or asleep at my computer, so I don't get to see much then.

I was just reading up on him...

Or had all the water run out of the canals and dropped off the planet, and all evidence of their existence eroded away, by the time Mariner 4 came along...?

Set my telescope lens to infinity, aimed at Mars to get a shot of your Man, and there they were, looking at some posts. This little bloke (?) was five posts away from your guy, and so I photoshopped - I mean, photoshot - him.

Hi Leren;

Here are two options that, by making one change to the puzzle in post #6, converts it from unsolvable to one that has a unique solution:

     Option 1: C1 empty                             Option 2: G1 empty

    1 2 3   4 5 6   7 8 9                          1 2 3   4 5 6   7 8 9 
A | _ 2 _ | 1 5 _ | _ _ _ |                    A | _ 2 _ | 1 5 _ | _ _ _ |
B | _ _ 5 | 2 _ _ | _ _ 9 |                    B | _ _ 5 | 2 _ _ | _ _ 9 |
C | _ _ _ | _ _ 4 | _ 2 5 |                    C | 3 _ _ | _ _ 4 | _ 2 5 |
  |-------+-------+-------|                      |-------+-------+-------|
D | _ 8 7 | _ _ 2 | 5 _ _ |                    D | _ 8 7 | _ _ 2 | 5 _ _ |
E | _ 4 _ | _ 1 7 | _ _ _ |                    E | _ 4 _ | _ 1 7 | _ _ _ |
F | _ _ _ | _ _ 3 | 1 _ 7 |                    F | _ _ _ | _ _ 3 | 1 _ 7 |
  |-------+-------+-------|                      |-------+-------+-------|
G | 2 _ 4 | 6 _ _ | _ _ _ |                    G | _ _ 4 | 6 _ _ | _ _ _ |
H | 6 _ _ | _ 9 _ | _ 3 _ |                    H | 6 _ _ | _ 9 _ | _ 3 _ |
I | _ 5 _ | _ _ _ | 9 6 8 |                    I | _ 5 _ | _ _ _ | 9 6 8 |

Both solutions are easy to find, and are different from each other.

Hi;

There are 12 solutions where the two hands are on different sides of the clock face, and the distance to the 6-hour mark for one is measured in the reverse direction to that of the other.

There are 11 solutions where one hand is on top of the other and the direction to the 6-hour mark for both hands is the same.

EDIT: I've had another think about this, and I reckon that although the puzzle wording doesn't say so, we're probably just meant to give the exact time of the clock hands shown in the image on the puzzle page (and reproduced below)...in which case there's only one solution. It doesn't really make sense otherwise, there being so many solutions.

Sorry...I should go now. Big day coming up for me tomorrow.

Catch you later.

I need to know the length of each line before I can get a proper appreciation of whether you like short or long programs and proofs.

My Excel T&E only took a few seconds longer than a few seconds, which I was quite pleased about.

Even at my age I don't have centuries to wait for your 100-page proof to appear - and besides, I have to go to bed soon - but I'll hang around here for a bit longer in case you can get your idea to work.

All the best with it!

Yes, I've always wondered why the programmers stopped when they'd succeeded in getting W|A to understand poorly expressed input, and didn't go on to enable it to process M language like your first code.

No solution, but scads of nutritional info!!