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Sat June 17 help please

 
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nissa



Joined: 19 Jun 2006
Posts: 1

PostPosted: Mon Jun 19, 2006 6:30 am    Post subject: Sat June 17 help please Reply with quote

I am having a hard time with the 6-17-06 daily puzzle.

I am as far as
-78-659-4
4-69--7--
-9--4-618
--1---89-
---8-1-7-
827---1--
58--7--6-
--3--45-7
7--65----

the hint for is row 4 column 6 is 7. Why?

Thanks for your help.
Nissa
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keith



Joined: 19 Sep 2005
Posts: 3165
Location: near Detroit, Michigan, USA

PostPosted: Mon Jun 19, 2006 7:52 am    Post subject: Next move Reply with quote

Nissa,

You posted:
Code:

+-------------------+-------------------+-------------------+
| 123   7     8     | 123   6     5     | 9     23    4     |
| 4     135   6     | 9     1238  238   | 7     235   235   |
| 23    9     25    | 237   4     237   | 6     1     8     |
+-------------------+-------------------+-------------------+
| 36    3456  1     | 23457 23    2367  | 8     9     2356  |
| 369   3456  459   | 8     239   1     | 234   7     2356  |
| 8     2     7     | 345   39    369   | 1     345   356   |
+-------------------+-------------------+-------------------+
| 5     8     249   | 123   7     239   | 234   6     1239  |
| 1269  16    3     | 12    1289  4     | 5     28    7     |
| 7     14    249   | 6     5     2389  | 234   2348  1239  |
+-------------------+-------------------+-------------------+

The next obvious move is R3C3 is <5>, look at row 3. Then, there is a triple <239> in C5 and B5 which will solve R6C6 and R4C6.

Keith
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David Bryant



Joined: 29 Jul 2005
Posts: 559
Location: Denver, Colorado

PostPosted: Mon Jun 19, 2006 3:48 pm    Post subject: "Hidden pair" in column 4 Reply with quote

Code:
-78 -65 9-4
4-6 9-- 7--
-9- -4- 618
--1 --- 89-
--- 8-1 -7-
827 --- 1--
58- -7- -6-
--3 --4 5-7
7-- 65- ---

Hi, Nissa!

The short answer to your question about the "7" at r4c6 is that there's a "hidden pair" {4, 5} lying in r4c4 & r6c4.

-- Because of the "4"s and "5"s lying in columns 5 & 6, it's clear that the only way to fit these two digits into the middle center 3x3 box is to place them in column 4. Therefore r4c4 & r6c4 must contain the pair {4, 5}.

-- With this in mind, it's also clear that the only cell remaining in the middle center 3x3 box that can possibly contain the digit "7" is r4c6. dcb
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