## from Will Shortz Over the Edge

Post the puzzle or solving technique that's causing you trouble and someone will help

### from Will Shortz Over the Edge

pg 101 I can get reasonably close, but I'm totally stuck.

the original is as follows:

6..|.34|...
58.|...|...
...|9..|.8.
...|.9.|.65
.3.|.1.|...
4..|...|7..
..1|..8|.37
9..|5..|...
.4.|...|5..

I have been able to deduce the following:

6....1279...279|.8..3...4 | 12....5...129
5.....8.....349|12..6..12 | 34....7...349
13...12.....234|.9..5...7 |12346..8...12346

178..127....278|74..9..23 |12348..6...5
78...3...256789|74..1..56 |248....249.248
4....1269..2569|23..8..56 |.7.....129.123
2....5.......1.| 6..4...8 |.9.....3...7
9....67....3678| 5..27.13 |12468..124.12468
378..4.....3678|13..27..9 |.5.....12..1268

I am something of a beginner and I'm totally stumped. I have checked and the single numbers in my partial solution are correct but I cannot logically go any further.
santa

Posts: 3
Joined: 05 January 2008

Code: Select all
`+--------------------------------------------------------------------------------------+|  6        1279     279     |  8        3        4       |  12       5        129     ||  5        8        349     |  12       6        12      |  34       7        349     ||  13       12       234     |  9        5        7       |  12346    8        12346   ||----------------------------+----------------------------+----------------------------||  178      127      278     |  47       9        23      |  12348    6        5       ||  78       3        256789  |  47       1        56      |  248      249      248     ||  4        1269     2569    |  23       8        56      |  7        129      123     ||----------------------------+----------------------------+----------------------------||  2        5        1       |  6        4        8       |  9        3        7       ||  9        67       3678    |  5        27       13      |  12468    124      12468   ||  378      4        3678    |  13       27       9       |  5        12       1268    |+--------------------------------------------------------------------------------------+`

There is a Naked Quad in box 4 ... followed by a Naked Triple in row 6. You should be able to handle everything after that.
daj95376
2014 Supporter

Posts: 2624
Joined: 15 May 2006

### thanks

I had to do some research to understand that and figure out what was involved but I got it in the end. whew....those triples and quads will be hard to spot in the future but now at least I have some concept...
santa

Posts: 3
Joined: 05 January 2008

### re: Will Shortz -- "Over the Edge" -- page 101

daj95376 wrote:
Code: Select all
`|  6     1279  279     |  8     3     4    |  12       5        129     ||  5     8     349     |  12    6     12   |  34       7        349     ||  13    12    234     |  9     5     7    |  12346    8        12346   ||----------------------+-------------------+----------------------------||  178   127   278     |  47    9     23   |  12348    6        5       ||  78    3     256789  |  47    1     56   |  248      249      248     ||  4     1269  2569    |  23    8     56   |  7        129      123     ||----------------------+-------------------+----------------------------||  2     5     1       |  6     4     8    |  9        3        7       ||  9     67    3678    |  5     27    13   |  12468    124      12468   ||  378   4     3678    |  13    27    9    |  5        12       1268    |`

There is a Naked Quad in box 4 ... followed by a Naked Triple in row 6.

"hidden" duo {5,6} in row 5
gives a "hidden single" in that row,
then a "hidden single" in a column;

also after that duo,
the 2 for row 5 must be in box 6
-- exclude 2 elsewhere in that box,
finish with "singles".

Pat

Posts: 3448
Joined: 18 July 2005

### Re: re: Will Shortz -- "Over the Edge" -- page 101

Pat wrote:
"hidden" duo {5,6} in row 5
gives a "hidden single" in that row,
then a "hidden single" in a column;

also after that duo,
the 2 for row 5 must be in box 6
-- exclude 2 elsewhere in that box,
finish with "singles".

Good "spot" Pat.

I find some of the "harder" methods easier than quads and even hidden duos, at times.

The order you look for, or find, techniques makes a puzzle quite different.

Santa, there are usually several paths.

Where daj saw a quad and Pat saw a hidden pair I saw a UR.

They all advance the puzzle. "You see what you want to see..." (Harry Nilsson)

Code: Select all
`|  6     1279   279     |  8     3     4    |  12       5        129     ||  5     8      349     |  12    6     12   |  34       7        349     ||  13    12     234     |  9     5     7    |  12346    8        12346   ||-----------------------+-------------------+----------------------------||  178   127    278     |  47    9     23   |  12348    6        5       ||  78    3    *25789-6  |  47    1    *56   |  248      249      248     ||  4     1269 *259-6    |  23    8    *56   |  7        129      123     ||-----------------------+-------------------+----------------------------||  2     5      1       |  6     4     8    |  9        3        7       ||  9     67     3678    |  5     27    13   |  12468    124      12468   ||  378   4      3678    |  13    27    9    |  5        12       1268    |`
wintder

Posts: 297
Joined: 24 April 2007

### UR... ?

I'll look that up....beginner at this...
santa

Posts: 3
Joined: 05 January 2008