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Dantvman27
01-19-2007, 12:00 PM
whats the most amount points you can score total, saying all your tubes were used.You do not have enough tubes to cover the entire rack, you are short by 3, so what would it be, and how would you do it?

pretend noone uses spoilers

just answer to save me the 15 minutes of guess and check work

Rick
01-19-2007, 12:02 PM
596. 656 with bots.

ggoldman
01-19-2007, 12:04 PM
Each team has 21 Tubes (9 tubes on the field, 9 in home zone, 3 for autonomous)

There are 24 spots on the rack

- - 0 0 0 0 0 -
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0

you have a total of

3 x Rows/Columns of Two = 3 * 2^2 =3 * 4 = 12
5 x Rows/Columns of Three = 5*2^3= 5*8 = 40
1 x Rows/Columns of Five = 1 * 2^5 = 32
2 x Rows/Columns of Eight = 2 * 2^8 = 2 * 256 = 512

Bonuses
2 x Robots Lifted 12" = 2 * 30 = 60
(this is assuming you do not have an unpowered anti gravity machine for the 3rd bot)

Grand Total = 12 + 32 + 40 + 512 + 60 = 656 points!

Hope that helps!

*Edit ..miscounted tubes originally...fixed now !! *

Dantvman27
01-19-2007, 12:05 PM
o ok thanks guys

and ricksta, see you in manchester

EricH
01-19-2007, 02:21 PM
Each team has 21 Tubes (9 tubes on the field, 9 in home zone, 3 for autonomous)

There are 24 spots on the rack

- - 0 0 0 0 0 -
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0

you have a total of

5 x Rows/Columns of Two = 5 * 2^2 = 5 * 4 = 20
5 x Rows/Columns of Three = 4*2^3= 4*8 = 32
1 x Rows/Columns of Five = 1 * 2^5 = 32
2 x Rows/Columns of Eight = 2 * 2^8 = 2 * 256 = 512

Bonuses
2 x Robots Lifted 12" = 2 * 30 = 60
(this is assuming you do not have an unpowered anti gravity machine for the 3rd bot)

Grand Total = 20 + 32 + 32 + 512 + 60 = 656 points!

Hope that helps!

*Edit ..miscounted tubes originally...fixed now !! *Still miscounting in the rows. The correct pattern is:
3 rows of two--3*4=12
5 rows of 3--5*8=40
1 row of 5--1*32=32
2 rows of 8--2*256=512

Total rack: 596

Add 60 points for lifting 2 robots: 656.
Right numbers, wrong values. The correct score for the pattern listed (with the 5 rows of 2) is: 664.

Now, will anyone get 656? Yeah, right.

Tytus Gerrish
01-19-2007, 02:34 PM
remember the 3 ringers in atonomus. you could potentialy cover the whole rack

EricH
01-19-2007, 02:37 PM
remember the 3 ringers in atonomus. you could potentialy cover the whole rackThey were already included.

ggoldman
01-19-2007, 02:41 PM
Thanks for the correction.

I initially miscounted the number of tubes available (and therefore forgot to clean-up the mess from b4.)

The inital post with the math is now corrected to relect the CORRECT solution.