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Diffstat (limited to 'distribute_candies_children2.py')
-rw-r--r-- | distribute_candies_children2.py | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/distribute_candies_children2.py b/distribute_candies_children2.py new file mode 100644 index 0000000..6123df8 --- /dev/null +++ b/distribute_candies_children2.py @@ -0,0 +1,35 @@ +# 2929. Distribute Candies Among Children II +from math import comb + +""" +you are given two positive integers 'n' and 'limit'. return the total number +of ways to distritube 'n' candies among 3 children such that no child gets +more than 'limit' candies. +""" + + +class Solution(object): + def distributeCandies(self, n, limit): + """ + :type n: int + :type limit: int + :rtype: int + """ + ans = (n + 2) * (n + 1) // 2 + for i in range(1, 4): + if n - i * (limit + 1) < 0: + break + ans += ( + (-1) ** i + * comb(3, i) + * (n - i * (limit + 1) + 2) + * (n - i * (limit + 1) + 1) + // 2 + ) + return ans + + +if __name__ == "__main__": + obj = Solution() + print(obj.distributeCandies(n=5, limit=2)) + print(obj.distributeCandies(n=3, limit=3)) |