water-bottles

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Algorithms

There are <code>numBottles</code> water bottles that are initially full of water. You can exchange <code>numExchange</code> 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.

Given the two integers <code>numBottles</code> and <code>numExchange</code>, return the maximum number of water bottles you can drink.

&nbsp;
Example 1:
<img alt="" src="https://assets.leetcode.com/uploads/2020/07/01/sample_1_1875.png" style="width: 500px; height: 245px;" />
<pre>
Input: numBottles = 9, numExchange = 3
Output: 13
Explanation: You can exchange 3 empty bottles to get 1 full water bottle.
Number of water bottles you can drink: 9 + 3 + 1 = 13.
</pre>

Example 2:
<img alt="" src="https://assets.leetcode.com/uploads/2020/07/01/sample_2_1875.png" style="width: 500px; height: 183px;" />
<pre>
Input: numBottles = 15, numExchange = 4
Output: 19
Explanation: You can exchange 4 empty bottles to get 1 full water bottle. 
Number of water bottles you can drink: 15 + 3 + 1 = 19.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= numBottles &lt;= 100</code></li>
	<li><code>2 &lt;= numExchange &lt;= 100</code></li>
</ul>

numWaterBottles

Water Bottles

Water Bottles II

water-bottles-ii

换水问题 II

Math

Simulation

超市正在促销，你可以用 <code>numExchange</code> 个空水瓶从超市兑换一瓶水。最开始，你一共购入了 <code>numBottles</code> 瓶水。

如果喝掉了水瓶中的水，那么水瓶就会变成空的。

给你两个整数 <code>numBottles</code> 和 <code>numExchange</code> ，返回你 最多 可以喝到多少瓶水。

&nbsp;

示例 1：

<img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_1_1875.png" style="height: 240px; width: 480px;" />

<pre>
输入：numBottles = 9, numExchange = 3
输出：13
解释：你可以用 <code>3</code> 个空瓶兑换 1 瓶水。
所以最多能喝到 9 + 3 + 1 = 13 瓶水。
</pre>

示例 2：

<img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/07/19/sample_2_1875.png" style="height: 240px; width: 790px;" />

<pre>
输入：numBottles = 15, numExchange = 4
输出：19
解释：你可以用 <code>4</code> 个空瓶兑换 1 瓶水。
所以最多能喝到 15 + 3 + 1 = 19 瓶水。
</pre>

&nbsp;

&nbsp;

提示：

<ul>
	<li><code>1 &lt;= numBottles &lt;= 100</code></li>
	<li><code>2 &lt;= numExchange &lt;= 100</code></li>
</ul>