[Swift]LeetCode365. 水壺問題 | Water and Jug Problem

★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★
➤微信公衆號：山青詠芝（shanqingyongzhi）
➤博客園地址：山青詠芝（https://www.cnblogs.com/strengthen/）
➤GitHub地址：https://github.com/strengthen/LeetCode
➤原文地址：http://www.javashuo.com/article/p-funhuliu-ex.html 
➤若是連接不是山青詠芝的博客園地址，則多是爬取做者的文章。
➤原文已修改更新！強烈建議點擊原文地址閱讀！支持做者！支持原創！
★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★★You are given two jugs with capacities x and y litres. There is an infinite amount of water supply available. You need to determine whether it is possible to measure exactly z litres using these two jugs.

If z liters of water is measurable, you must have z liters of water contained within one or both buckets by the end.

Operations allowed:

• Fill any of the jugs completely with water.
• Empty any of the jugs.
• Pour water from one jug into another till the other jug is completely full or the first jug itself is empty.

Example 1: (From the famous "Die Hard" example)

Input: x = 3, y = 5, z = 4
Output: True

Example 2:

Input: x = 2, y = 6, z = 5
Output: False

---

有兩個容量分別爲 x升 和 y升 的水壺以及無限多的水。請判斷可否經過使用這兩個水壺，從而能夠獲得剛好 z升 的水？

若是能夠，最後請用以上水壺中的一或兩個來盛放取得的 z升 水。

你容許：

• 裝滿任意一個水壺
• 清空任意一個水壺
• 從一個水壺向另一個水壺倒水，直到裝滿或者倒空

示例 1: (From the famous "Die Hard" example)

輸入: x = 3, y = 5, z = 4
輸出: True

示例 2:

輸入: x = 2, y = 6, z = 5
輸出: False

---

8ms

 1 class Solution {
 2     func canMeasureWater(_ x: Int, _ y: Int, _ z: Int) -> Bool {
 3         return z == 0 || (x + y >= z && z % gcd(x, y) == 0)
 4     }
 5     
 6     func gcd(_ x:Int,_ y:Int) -> Int
 7     {
 8         return y == 0 ? x : gcd(y, x % y)
 9     }
10 }

---

8ms

 1 class Solution {
 2     func canMeasureWater(_ x: Int, _ y: Int, _ z: Int) -> Bool {
 3         guard z <= x + y else {
 4             return false
 5         }
 6         
 7         let divisor = greatestCommonDivisor(x, y)
 8         
 9         return z == 0 ? true : z % divisor == 0
10     }
11     
12     func greatestCommonDivisor(_ x: Int, _ y: Int) -> Int {
13         
14         if y == 0 {
15             return x
16         }
17         
18         return greatestCommonDivisor(y, x % y)
19     }
20 }

---

12ms

 1 class Solution {
 2     func canMeasureWater(_ x: Int, _ y: Int, _ z: Int) -> Bool {
 3         func gcd(x: Int, y: Int) -> Int {
 4             if y == 0 {
 5                 return x
 6             } else {
 7                 return gcd(x: y, y: x%y)
 8             }
 9         }
10         
11         if z == 0 {
12             return true
13         }
14         if x + y < z {
15             return false
16         } else {
17             return z % gcd(x: x, y: y) == 0
18         }
19     }
20 }