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Java-based LeetCode algorithm problem solutions, regularly updated
2929\. Distribute Candies Among Children II
Medium
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 <= 106
* 1 <= limit <= 106