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21 Squared #1012900
05/03/15 04:28 PM
05/03/15 04:28 PM
Joined: Apr 2005
Posts: 37,812
Alabama
soot Offline OP
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soot  Offline OP
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Sonic Boomer

Joined: Apr 2005
Posts: 37,812
Alabama
Place these 16 numbers, into the proper squares of the 4x4 grid so that...

9, 9, 8, 8, 7, 6, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1

1. Each row of squares adds up to 21.
2. Each column of squares adds up to 21.
3. The four corner squares add up to 21.
4. The four central squares add up to 21.
5. The two squares above and the two squares below the central square add up to 21.
6. The two squares to the right and the two squares to the left of the central square add up to 21.
7. The diagonal squares from upper left to lower right add up to 21.
8. The diagonal squares from upper right to lower left add up to 21.

woozy

Please put your solution in a "spoiler box" to hide it from others yes

Code:
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penguin

Last edited by soot; 05/17/15 12:34 PM.

Dan
...
To learn, read...To know, write...To master, teach...To live, play games & listen to whale music Stay Smart & Stay Safe
Re: 21 Squared [Re: soot] #1014765
05/16/15 07:17 PM
05/16/15 07:17 PM
Joined: Apr 2005
Posts: 37,812
Alabama
soot Offline OP
Puzzled Moderator
soot  Offline OP
Puzzled Moderator
Sonic Boomer

Joined: Apr 2005
Posts: 37,812
Alabama
This one is still simmering think


Dan
...
To learn, read...To know, write...To master, teach...To live, play games & listen to whale music Stay Smart & Stay Safe
Re: 21 Squared [Re: soot] #1014783
05/16/15 09:01 PM
05/16/15 09:01 PM
Joined: Jan 2003
Posts: 5,763
Mojave desert, California
CCbomber Offline
BAAG Specialist
CCbomber  Offline
BAAG Specialist

Joined: Jan 2003
Posts: 5,763
Mojave desert, California
I've been working on it off and on. Very tough! smile

Re: 21 Squared [Re: soot] #1014816
05/17/15 09:49 AM
05/17/15 09:49 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline
Graduate Boomer
CanukDenis  Offline
Graduate Boomer

Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
I found 2 basic solutions.
Each can appear 16 ways: so 32 "ways".
By basic, I mean 4 corners have same 4 numbers,
but in different order.
Click to reveal..

1 4 8 8
4 9 4 4
9 2 6 4
7 6 3 5 .... 16 arrangements with 1,5,7,8 in the corners

2 4 6 9
4 8 5 4
9 1 7 4
6 8 3 4 .... 16 arrangements with 2,4,6,9 in the corners


I'm a man of few words, BUT I use 'em often!!
Re: 21 Squared [Re: soot] #1014842
05/17/15 12:33 PM
05/17/15 12:33 PM
Joined: Apr 2005
Posts: 37,812
Alabama
soot Offline OP
Puzzled Moderator
soot  Offline OP
Puzzled Moderator
Sonic Boomer

Joined: Apr 2005
Posts: 37,812
Alabama
bravo Denis ... yes there are variants yes


Dan
...
To learn, read...To know, write...To master, teach...To live, play games & listen to whale music Stay Smart & Stay Safe
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