| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 1431.1 | Partial solution | CHEFS::STRANGEWAYS | Andy Strangeways@REO DTN 830-3216 | Tue Jan 28 1997 05:19 | 44 |
| Interesting puzzle.
Partial solution follows form feed.
The bottom left part has a unique solution:
5
1 3
2
4 9
3 8
To work this out, note that 17 can only be {8,9}. The only
possibilities for 11 are therefore {8,3} and {9,2} and the only
possibilities for 13 are {8,5} and {9,4}.
Combining all these, we have
? or ? or ?
1 3 1 3 3 1
? ? ?
4 9 5 8 5 8
3 8 2 9 2 9
in the bottom left.
Observe that 35 must be {5,6,7,8,9}. This is not compatible with the
last two possibilities above and only fits with the first in one way:
5
1 3
2
4 9
3 8
As to the top right, there are at least two solutions:
5 4 7 5 4 7
6 7 8 9 7 9 6 8
7 9 6 8 and 6 7 8 9
I haven't done an exhaustive search, though.
Andy.
|
| 1431.2 | | BUSY::SLAB | As you wish | Tue Jan 28 1997 11:38 | 6 |
|
Yup, your logic is correct.
Now picture a 15x15 grid that's 4x as hard and you see what I
went through this w'end. 4 of them. 8^)
|
| 1431.3 | | DYPSS1::s_coghill.dyo.dec.com::CoghillS | Steve Coghill, NSIS Solution Architect | Tue Jan 28 1997 14:17 | 82 |
| I love these puzzles. I think PennyPress's puzzles are
more challenging than Dell's puzzles.
I just worked a couple that had a new (for me at least) twist
on them. Each group had to had at least one zero in the
answer. Had to throw all my tricks out of the window for this one.
Some helps:
You can use the following to narrow down answers. Look for intersections
of the following combinations. It can give the answers, a subset of
possible digits, or a subset of excluded digits. Examples:
In these examples there is only one solution each
+---+---+---+
|***|***|x/4|
+---+---+---+
|***|***| 3 |
+---+---+---+
|x/3| 2 | 1 |
+---+---+---+
+---+---+---+
|***|***|/17|
+---+---+---+
|***|***| 8 |
+---+---+---+
|/16| 7 | 9 |
+---+---+---+
In this example you know where to put the 5
+---+
|/29|
+---+
| ? |
+---+
| ? |
+---+
| ? |
+---+---+---+---+---+
|/11| ? | ? | ? | 5 |
+---+---+---+---+---+
Two Digit Answers:
3 = 1 + 2
4 = 1 + 3
16 = 7 + 9
17 = 8 + 9
Three Digit Answers:
6 = 1 + 2 + 3
7 = 1 + 2 + 4
23 = 6 + 8 + 9
24 = 7 + 8 + 9
Four Digit Answers:
10 = 1 + 2 + 3 + 4
11 = 1 + 2 + 3 + 5
29 = 5 + 7 + 8 + 9
30 = 6 + 7 + 8 + 9
Five Digit Answers:
15 = 1 + 2 + 3 + 4 + 5
16 = 1 + 2 + 3 + 4 + 6
34 = 4 + 6 + 7 + 8 + 9
35 = 5 + 6 + 7 + 8 + 9
Six Digit Answers:
21 = 1 + 2 + 3 + 4 + 5 + 6
22 = 1 + 2 + 3 + 4 + 5 + 7
38 = 3 + 5 + 6 + 7 + 8 + 9
39 = 4 + 5 + 6 + 7 + 8 + 9
|
| 1431.4 | | BUSY::SLAB | As you wish | Tue Jan 28 1997 14:51 | 5 |
|
I love 'em, too, but had never seen them before Saturday.
Now I'll have to see if I can find an entire book full of them.
|
| 1431.5 | | RHETT::MOORE | | Tue Jan 28 1997 15:02 | 5 |
| you can usually find books of them at newstands.
What's interesting is how much the degree of difficulty varies. Some
are almost trivially easy, while others are real brainstormers.
|
| 1431.6 | | DYPSS1::s_coghill.dyo.dec.com::CoghillS | Steve Coghill, NSIS Solution Architect | Tue Jan 28 1997 16:19 | 3 |
| Dell publishes a couple of Math only puzzle mags every year. Dell's
and PennyPress's monthly mags have between 4 and 10 of the puzzles in
each edition.
|
| 1431.7 | | BUSY::SLAB | As you wish | Wed Jan 29 1997 13:38 | 10 |
|
I have an "Official" [I think that's the actual name of it] puzzle
book with a couple of these in it also, but they call them "Cross
additions".
But these are rather inconvenient since they're set up in true
crossword puzzle form with a list of across/down clues, and it's a
pain to go back and forth between clues/grid when you're trying to
think an answer through.
|
| 1431.8 | | BUSY::SLAB | Beware of geeks baring grifts | Thu Feb 06 1997 12:41 | 9 |
|
I picked up the April PennyPress and they did have 2 of these in
it. However, I don't like the fact that they give you a "starter"
answer ... it really isn't necessary. Well, not for me, anyways.
Both puzzles were very easy at 1st ... or maybe I'm getting good
at them or something. But the middle sections of both weren't
very easy at all.
|
| 1431.9 | | DYPSS1::s_coghill.dyo.dec.com::CoghillS | Steve Coghill, NSIS Solution Architect | Fri Feb 07 1997 10:44 | 4 |
| Depending on what issue you get PennyPress has some puzzles with no starters.
I looked throu mine and it seems that the first two puzzles have the starters
and the rest don't. If the issue has only two puzzles then you get a starter.
|