Wednesday, January 05, 2005

Blog puzzle #2

A devious spy has planted spying devices in a secret government facility composed of sixteen rooms in a four-by-four array. Your mission is to determine the number of bugs in each room given the following information: 2 of the rooms contain three bugs each. 2 of the rooms contain two bugs each. 4 of the rooms contain one bug each. The remaining rooms are bugless. Can you determine the number of bugs in each room? The numbers below indicate the total in each row, column, and the diagonal from upper left to lower right.

hello to everyon2
hello to everyon5
hello to everyon1
hello to everyon6
5 ell2 o3 ver4 o4

(Pretend there is a diagram there and pay no attention to the lettering, I had to add it to make it appear like a diagram)

2 comments:

P "N" K said...

argh. twice i've gotten it so 8 of the 9 numbers work but #9 doesn't. I will persevere.

P "N" K said...

hmmmm

I hope this works

1 0 0 1

3 0 2 0

1 0 0 0

0 2 1 3

Rows
1 + 0 + 0 + 1 = 2
3 + 0 + 2 + 0 = 5
1 + 0 + 0 + 0 = 1
0 + 2 + 1 + 3 = 6

Diagonal
1 + 0 + 0 + 3 = 4

Columns
1 + 3 + 1 + 0 = 5
0 + 0 + 0 + 0 = 2
0 + 2 + 0 + 1 = 3
1 + 0 + 0 + 3 = 4

Two 2s, Two 3s, and Four 1s used.