![\"\"](\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_1_1875.png\")
There are numBottles water bottles that are initially full of water. You can exchange numExchange empty water bottles from the market with one full water bottle.
The operation of drinking a full water bottle turns it into an empty bottle.
\n\nGiven the two integers numBottles and numExchange, return the maximum number of water bottles you can drink.
\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/07/01/sample_1_1875.png\")
\n\nInput: numBottles = 9, numExchange = 3\nOutput: 13\nExplanation: You can exchange 3 empty bottles to get 1 full water bottle.\nNumber of water bottles you can drink: 9 + 3 + 1 = 13.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/07/01/sample_2_1875.png\")
\n\nInput: numBottles = 15, numExchange = 4\nOutput: 19\nExplanation: You can exchange 4 empty bottles to get 1 full water bottle. \nNumber of water bottles you can drink: 15 + 3 + 1 = 19.\n\n\n
\n
Constraints:
\n\n1 <= numBottles <= 1002 <= numExchange <= 100小区便利店正在促销，用 numExchange 个空酒瓶可以兑换一瓶新酒。你购入了 numBottles 瓶酒。
如果喝掉了酒瓶中的酒，那么酒瓶就会变成空的。
\n\n请你计算 最多 能喝到多少瓶酒。
\n\n\n\n
示例 1：
\n\n
输入：numBottles = 9, numExchange = 3\n输出：13\n解释：你可以用 3 个空酒瓶兑换 1 瓶酒。\n所以最多能喝到 9 + 3 + 1 = 13 瓶酒。\n\n\n示例 2：
\n\n![\"\"](\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_2_1875.png\")
输入：numBottles = 15, numExchange = 4\n输出：19\n解释：你可以用 4 个空酒瓶兑换 1 瓶酒。\n所以最多能喝到 15 + 3 + 1 = 19 瓶酒。\n\n\n示例 3：
\n\n输入：numBottles = 5, numExchange = 5\n输出：6\n\n\n
示例 4：
\n\n输入：numBottles = 2, numExchange = 3\n输出：2\n\n\n
\n\n
提示：
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