Question

Dart board problem.

Asked by: duz

Hello puzzle experts!

On a standard dart board what is the lowest number that you cannot score with two darts?

- duz

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Asked On
2005-01-19 at 12:41:26ID21280874
Tags

dart

,

board

,

problem

,

number

Topic

Puzzles & Riddles

Participating Experts
9
Points
250
Comments
22

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Answers

 

by: musoPosted on 2005-01-19 at 12:49:28ID: 13086948

Negative infinity?

If you miss both times, you wont score anything!

... or have I missed the mark

 

by: snoyes_jwPosted on 2005-01-19 at 12:49:31ID: 13086949

Depending on the particular game you're playing, you can score any number from 0 to the value of a bull's eye.

 

by: musoPosted on 2005-01-19 at 12:54:27ID: 13086992

> you can score any number from 0 to the value of a bull's eye.

Actually, with 2 darts, it'll be between 0 and 120 (2 treble-tops)

 

by: musoPosted on 2005-01-19 at 12:56:14ID: 13087009

83?

 

by: musoPosted on 2005-01-19 at 12:57:43ID: 13087024

> 83?

No, that's bull, and 11x3...

 

by: mlmccPosted on 2005-01-19 at 13:11:39ID: 13087175

91

mlmcc

 

by: duzPosted on 2005-01-19 at 13:16:30ID: 13087233

mlmcc -

91 = 3x19 + 2x17

- duz

 

by: duzPosted on 2005-01-19 at 13:17:54ID: 13087246


For those not familiar with the game of darts here is the dartboard anatomy http://www.hotshotscanada.com/item2263.htm

 

by: snoyes_jwPosted on 2005-01-19 at 13:27:40ID: 13087357

103, then

 

by: ArawnPosted on 2005-01-19 at 13:27:41ID: 13087358

I will say the obvious 121 until I look closer at the problem.

 

by: snoyes_jwPosted on 2005-01-19 at 13:28:56ID: 13087376

then 109, 112, 113, 115, 116, 118, and 119, and anything above 120.

 

by: snoyes_jwPosted on 2005-01-19 at 13:29:40ID: 13087382

oops, missed 106 in the list.

 

by: jkmyoungPosted on 2005-01-19 at 15:02:31ID: 13088349

1-20 = one dart
21-40 = 20 + (1-20)
41-60 = 2*20 + (1-20)
61-80 = 3*20 + (1-20)
odd 81-97 = 3 * 19 + 2 * (12-20)
even 82-100 = 3 * 20 + 2 * (11-20)
(gives us up to 98 so far, + 100)

multiples of 3 from 99-120 = 3 * 20 + 3 * (13-20)
1 less than a multiple of 3 from 101-110 = 50 + 3 * (17-20)

So I agree, 103 it is then.

 

by: XxavierPosted on 2005-01-19 at 15:06:08ID: 13088383

it is 103 this generates them all

<script>
function Sort(a, b)
{
if(1*a >1* b)
return -1
if(1*a < 1*b)
return 1
return 0
}
str=''
for (i=0;i<21;i++)
  for (j=0;j<21;j++)
   str+=' '+(i+j)

for (i=0;i<21;i++)
  for (j=0;j<21;j++)
   str+=' '+(i+2*j)

for (i=0;i<21;i++)
  for (j=0;j<21;j++)
   str+=' '+(i+3*j)

for (i=0;i<21;i++)
  for (j=0;j<21;j++)
   str+=' '+(2*i+2*j)

for (i=0;i<21;i++)
  for (j=0;j<21;j++)
   str+=' '+(3*i+3*j)

for (i=0;i<21;i++)
 for (j=0;j<21;j++)
   str+=' '+(2*i+3*j)

for (i=0;i<21;i++)
   str+=' '+(50+2*i)

for (i=0;i<21;i++)
   str+=' '+(50+3*i)

str=str.split(' ')
str=str.sort(Sort)
str=str.join()
str=str.replace(/(\d*,)(\1)*/g,'$1')
document.write(str)
</script>

 

by: jimhornPosted on 2005-01-19 at 20:02:07ID: 13089902

83

 

by: dedy_djajapermanaPosted on 2005-01-19 at 20:02:14ID: 13089903

it's a simple 101
two darts can get maximum score of 100
scores that can't be achieved with 2 darts is 101 to infinity
lowest score that can't be achieved with two darts is 101

 

by: nripPosted on 2005-01-19 at 20:31:12ID: 13090090

83...

max with one dart is 20*3 = 60 and the min unattainable with one dart is 23

so thast 23 + 60 = 83..

 

by: jimhornPosted on 2005-01-19 at 20:35:05ID: 13090100

50 bull + (11x3) = 83.  Damn.

 

by: mlmccPosted on 2005-01-19 at 20:46:26ID: 13090140

101 = double bull + 3*17

 

by: nripPosted on 2005-01-19 at 21:46:35ID: 13090365

103..

 

by: duzPosted on 2005-01-20 at 00:11:16ID: 13090861


snoyes_jw wrote 103 first with some additional info, jkmyoung confirmed and Xxavier wrote the script! I shall split 150, 50, and 50.

Good work puzzlers and thank you.

- duz

 

by: musoPosted on 2005-01-20 at 01:02:34ID: 13091053

Trickier puzzle than it first appeared!  Glad I wasn't the only one caught out by 83!

20120131-EE-VQP-002

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