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| 1 | +# [1518. Water Bottles](https://leetcode-cn.com/problems/water-bottles/) |
| 2 | + |
| 3 | +## 题目 |
| 4 | + |
| 5 | +Given numBottles full water bottles, you can exchange numExchange empty water bottles for one full water bottle. |
| 6 | + |
| 7 | +The operation of drinking a full water bottle turns it into an empty bottle. |
| 8 | + |
| 9 | +Return the maximum number of water bottles you can drink. |
| 10 | + |
| 11 | +**Example 1**: |
| 12 | + |
| 13 | + |
| 14 | + |
| 15 | + Input: numBottles = 9, numExchange = 3 |
| 16 | + Output: 13 |
| 17 | + Explanation: You can exchange 3 empty bottles to get 1 full water bottle. |
| 18 | + Number of water bottles you can drink: 9 + 3 + 1 = 13. |
| 19 | + |
| 20 | +**Example 2**: |
| 21 | + |
| 22 | + |
| 23 | + |
| 24 | + Input: numBottles = 15, numExchange = 4 |
| 25 | + Output: 19 |
| 26 | + Explanation: You can exchange 4 empty bottles to get 1 full water bottle. |
| 27 | + Number of water bottles you can drink: 15 + 3 + 1 = 19. |
| 28 | + |
| 29 | +**Example 3**: |
| 30 | + |
| 31 | + Input: numBottles = 5, numExchange = 5 |
| 32 | + Output: 6 |
| 33 | + |
| 34 | +**Example 4**: |
| 35 | + |
| 36 | + Input: numBottles = 2, numExchange = 3 |
| 37 | + Output: 2 |
| 38 | + |
| 39 | +**Constraints:** |
| 40 | + |
| 41 | +- 1 <= numBottles <= 100 |
| 42 | +- 2 <= numExchange <= 100 |
| 43 | + |
| 44 | +## 题目大意 |
| 45 | + |
| 46 | +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。 |
| 47 | + |
| 48 | +如果喝掉了酒瓶中的酒,那么酒瓶就会变成空的。 |
| 49 | + |
| 50 | +请你计算 最多 能喝到多少瓶酒。 |
| 51 | + |
| 52 | +## 解题思路 |
| 53 | + |
| 54 | +- 模拟 |
| 55 | +首先我们一定可以喝到 numBottles 瓶酒,剩下 numBottles 个空瓶。接下来我们可以拿空瓶子换酒,每次拿出 numExchange 个瓶子换一瓶酒,然后再喝完这瓶酒,得到一个空瓶。这样模拟下去,直到所有的空瓶子小于numExchange结束 |
| 56 | + |
| 57 | +## 代码 |
| 58 | + |
| 59 | +```go |
| 60 | +package leetcode |
| 61 | + |
| 62 | +func numWaterBottles(numBottles int, numExchange int) int { |
| 63 | + if numBottles < numExchange { |
| 64 | + return numBottles |
| 65 | + } |
| 66 | + quotient := numBottles / numExchange |
| 67 | + reminder := numBottles % numExchange |
| 68 | + ans := numBottles + quotient |
| 69 | + for quotient+reminder >= numExchange { |
| 70 | + quotient, reminder = (quotient+reminder)/numExchange, (quotient+reminder)%numExchange |
| 71 | + ans += quotient |
| 72 | + } |
| 73 | + return ans |
| 74 | +} |
| 75 | +``` |
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