Highest Score Possible

[Dantvman27]

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]

596. 656 with bots.

[ggoldman]

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]

o ok thanks guys




and ricksta, see you in manchester

[EricH]

Originally Posted by ggoldman

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]

remember the 3 ringers in atonomus. you could potentialy cover the whole rack

[EricH]

Originally Posted by Tytus Gerrish

remember the 3 ringers in atonomus. you could potentialy cover the whole rack

They were already included.

[ggoldman]

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.