All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Dart Discharge II (Posted on 2023-03-27) Difficulty: 2 of 5
A dartboard has seven rings with respective scores of 11 points, 13 points, 31 points, 33 points, 42 points, 44 points, and 46 points.
More than one discharged dart may lodge in a given ring.

What is the minimum number of darts used to score 100? Show how its achievable.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Assuming ... | Comment 1 of 4
Assuming that a total score of precisely 100 is the goal:
I can do it with 8 darts:
[11, 11, 13, 13, 13, 13, 13, 13]

----------------
scores = [11,13,31,33,42,44,46]
from itertools import combinations_with_replacement

goal = 100

for throws in range(2,10):
    for comb in combinations_with_replacement(scores,throws):
        if sum(comb) == goal:
            print(sorted(list(comb)))

  Posted by Larry on 2023-03-27 09:17:56
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information