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g2901_3000.s2928_distribute_candies_among_children_i.readme.md Maven / Gradle / Ivy

2928\. Distribute Candies Among Children I

Easy

You are given two positive integers `n` and `limit`.

Return _the **total number** of ways to distribute_ `n` _candies among_ `3` _children such that no child gets more than_ `limit` _candies._

**Example 1:**

**Input:** n = 5, limit = 2

**Output:** 3

**Explanation:** There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1, 2, 2), (2, 1, 2) and (2, 2, 1).

**Example 2:**

**Input:** n = 3, limit = 3

**Output:** 10

**Explanation:** There are 10 ways to distribute 3 candies such that no child gets more than 3 candies: (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0) and (3, 0, 0).

**Constraints:**

*   `1 <= n <= 50`
*   `1 <= limit <= 50`