Count ways to reach score
Detailed guide and Python implementation for the 'Count ways to reach score' problem.
Problem Statement
Write a function count_ways_score(n) that returns the number of distinct combinations of moves to reach a score n in a game where a player can score 3, 5, or 10 points in each move. Note that combinations with different ordering of moves are considered the same (e.g., scoring 3 then 5 is the same combination as scoring 5 then 3).
- •1 <= n <= 1000
Examples
count_ways_score(13)
2
There are 2 combinations to reach 13: {3, 5, 5} and {3, 10}.
count_ways_score(20)
4
There are 4 combinations to reach 20: {10, 10}, {5, 5, 10}, {5, 5, 5, 5}, and {3, 3, 3, 3, 3, 5}.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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