多態以及 LeetCode 每日一題

来源:https://www.cnblogs.com/carlosouyang/archive/2019/04/23/10758809.html
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1 多態 1.1 多態性 Java 引用變數有兩個類型：一個是編譯時類型，一個是運行時類型。前者是代碼中聲明這個變數時的類型，後者是由實際對象的類型決定的。當編譯類型和運行類型不一樣時，產生多態。 這個例子中 nc 的編譯時類型是 BaseClass ， 運行類型是 SubClass，在調用 nc ...


1 多態

1.1 多態性

Java 引用變數有兩個類型：一個是編譯時類型，一個是運行時類型。前者是代碼中聲明這個變數時的類型，後者是由實際對象的類型決定的。當編譯類型和運行類型不一樣時，產生多態。

 1 class BaseClass{
 2     public int book = 6;
 3     public void base(){
 4         System.out.println("Father loves you!");
 5     }
 6     public void test(){
 7         System.out.println("Father's method is covered");
 8     }
 9 }
10 public class SubClass extends BaseClass{
11     public String book = "Marvel comic book";
12     public void test(){
13         System.out.println("Son's method covers Father's");
14     }
15     public void sub(){
16         System.out.println("Son");
17     }
18     public static void main(String[] args){
19         //多態
20         BaseClass nc = new SubClass();
21         System.out.println(nc.book);//輸出6，對象的實例變數不具備多態性
22         nc.test();//輸出Son's method covers father's ，執行的是SubClass中重寫的方法
23         nc.base();//Father loves you，subclass繼承的方法
24         //nc.sub();  會報錯，因為BaseClass 不具備sub方法
25     }
26 }

這個例子中 nc 的編譯時類型是 BaseClass ， 運行類型是 SubClass，在調用 nc 的方法時，總是顯現除 SubClass 的行為特征。但是註意，實例變數不具有多態性。

可以這麼理解，子類對象建立時其實也創建了一個父類類型的對象，若編譯時類型是父類，運行時類型是子類，該變數運行子類和父類擁有的共同的方法依然保持子類的特征（依然使用子類重寫的方法），無法使用子類獨有的方法，而且只能使用父類的實例變數。
引用變數在編譯時，只能調用其編譯時類型所具有的方法，但運行時則執行它運行時類型所具有的方法；在訪問其包含的實例變數時，系統總是訪問它編譯時類型所定義的成員變數，而不是運行時類型。

1.2 強制轉換

引用類型的轉換隻能發生在具有繼承關係的兩個類型之間，如果試圖把一個父類的實例轉換成子類類型時，則這個對象必須實際上是子類實例才行（運行時類型是子類）。子類轉換成父類總是可以成功的。但父類轉換成子類不一定。

類型轉換之前，最好先通過 instanceof 運算符判斷。

1 if (obj1 instanceof Type2){
2     Type2 obj2 = (Type2)obj1;
3 }

1.3 關於繼承和多態的個人理解

1.3.1 繼承

在學習繼承和多態的過程中，發現了一個現象，當子類聲明瞭一個和父類同名的變數時，子類的實例其實同時擁有了這兩個實例變數，只是預設情況下父類的那個變數會被隱藏，接下來用代碼測試展示。

 1 class Father {
 2     int i = 0;
 3 
 4     public int getI() {
 5         return i;
 6     }
 7 
 8     public void setI(int i) {
 9         this.i = i;
10     }
11     
12     public void print() {
13         System.out.println("i:" + i);
14     }
15 }
16 
17 public class Son extends Father {
18     int i = 1;
19     
20     public void print() {
21         System.out.println(i);
22     }
23     
24     public static void main(String[] args) {
25         Son son = new Son();
26         son.setI(2);
27         son.print();
28         System.out.println(son.i);
29         System.out.println(son.getSuper());
30         son.superPrint();
31     }
32     
33     public int getSuper() {
34         return super.i;
35     }
36     public void superPrint() {
37         super.print();
38     }
39 }

在這個程式里，父類聲明 i 時賦值為 0，子類也聲明瞭一個 i 賦初值為1，子類重寫了父類的 print（）方法，為表示區分，父類的print（）方法加了字元串“i:”。

  1. main 方法中，新建了一個子類對象後，從子類對象調用繼承來的 setter 方法改變 i 的值為 2，接著調用子類重寫的 print（）方法。列印的值依然為 “1”；
  2. 用常規的 println（）方法列印 son.i 的值，也是“1”；
  3. 用子類的 getSuper（） 方法獲得父類的 i 的值，並將其列印，列印的值為 “2”；
  4. 用子類的 superPrint（）方法，調用父類的 print（）方法，列印值為“i: 2”；

由我之前寫的一批文章中可知，當子類重寫了父類的方法後，父類的方法其實只是被覆蓋了，可以用 super 限定調用，其實實例變數也是一樣的。

另外值得提出的是，系統在執行方法時，查找某一變數的順序：

  1. 查找該方法中是否有名為 a 的局部變數；
  2. 查找當前類中是否包含名為 a 的成員變數；
  3. 查找 a 的直接父類中是否有名為 a 的成員變數，依次上溯到 a 的所有父類，這種查找只會往繼承樹的上方找。

所以我們可以解釋上述程式的現象了。當我們調用 setter 方法時，setter 在其當前類也就是父類中找到了成員變數 i ，於是改變其值為 2；調用 son 的 print（）方法時，在其當前類也就是子類找到了 成員變數 i ，所以列印值為 1；用常規方法列印 son.i 時，父類的 i 已經被覆蓋，所以列印值也是 1；用 getSuper（）方法獲得父類的 i 並將其列印發現，其值確實被修改成了 2；用 superPrint（）方法調用父類的 print（）方法，該方法在當前類找到了變數 i，於是將其列印，結果為：“i: 2”。

在繼承的學習中，我們知道，當我們創建一個子類實例時，系統會從繼承樹的頂端開始，依次往下初始化類，接著創建各個類的實例。根據上文的例子，我的理解是，與其說繼承後子類“擁有”了父類的屬性和方法，倒不如說是“借用”。當我們由子類實例調用父類的方法或訪問父類的成員變數（子類中沒有重寫的方法\沒有再次聲明的成員變數），系統在子類下沒有找到同名的方法或變數，於是由下往上在其父類中尋找並調用\訪問，這就造成了子類“擁有”了父類的成員變數及方法的假象。一旦子類中有同名的成員，父類成員就被覆蓋。

1.3.2 多態

利用上面繼承所說的“覆蓋”的特性，也可以解釋一些多態的現象。

 1 class Father{
 2     int i = 1;
 3     public void print(){
 4         System.out.println("Father");
 5     }
 6     public void printNum(){
 7         System.out.println(i);
 8     }
 9 }
10 public class Son extends Father{
11     int i = 2;
12 
13     public void print(){
14         System.out.println("Son");
15     }
16     public void printNum(){
17         System.out.println(i);
18     }
19     public static void main(String[] args) {
20         Father val = new Son();
21         val.print();
22         System.out.println(val.i);
23         val.printNum();
24     }
25 }

程式的輸出是：

第一條和第二條我們由上文“多態性”中不難理解，總結一句話就是：“方法有多態性，實例變數沒有多態性”，尋找變數時系統總是由編譯時類型出發，而尋找方法時系統總是由運行時類型出發。而第三條輸出結果，我們就可以藉由上文所說的“隱藏”特性以及“多態性”一同理解：當 val 調用 printNum（）方法時，系統由其運行時類型出發，找到了子類的重寫的 printNum（）方法，該方法又由當前類（子類）出發尋找變數 i ，於是找到了被隱藏了的值為 2 的變數 i 。

2 LeetCode

38.報數

報數序列是一個整數序列，按照其中的整數的順序進行報數，得到下一個數。其前五項如下：

1.     1
2.     11
3.     21
4.     1211
5.     111221

1 被讀作 "one 1" ("一個一") , 即 11。
11 被讀作 "two 1s" ("兩個一"）, 即 21。
21 被讀作 "one 2", "one 1" （"一個二" , "一個一") , 即 1211。

給定一個正整數 n（1 ≤ n ≤ 30），輸出報數序列的第 n 項。

註意：整數順序將表示為一個字元串。

示例 1:

輸入: 1
輸出: "1"

示例 2:

輸入: 4
輸出: "1211"

題目比較晦澀難懂。。。（外國人的腦洞）反正就是數組第一項是1，之後每一項都是把前一項像報數一樣念出來，再將念出來的數變成數字序列。（好像我也沒說清楚。。）

我的回答是：

 1 class Solution {
 2     public String countAndSay(int n) {
 3         String[] array = new String[n];
 4         array[0] = "1";
 5         StringBuilder tmp = new StringBuilder();
 6         int count = 1;
 7         for(int i = 0; i < n - 1; i++){
 8             for(int j = 0; j < array[i].length(); j++){
 9                 if(j < array[i].length() - 1 && array[i].charAt(j) == array[i].charAt(j + 1)){
10                     count++;
11                     continue;
12                 }
13                 tmp.append(count);
14                 tmp.append(array[i].charAt(j));
15                 count = 1;
16             }
17             array[i + 1] = tmp.toString();
18             tmp.delete(0, tmp.length());
19         }
20         return array[n-1];       
21     }
22 }

另附評論找到的最快方法（手動滑稽），其實是方便大家理解題意：

 1 class Solution {
 2     public String countAndSay(int n) {
 3         switch(n){
 4             case 1:
 5                 return "1";
 6             case 2:
 7                 return "11";
 8             case 3:
 9                 return "21";
10             case 4:
11                 return "1211";
12             case 5:
13                 return "111221";
14             case 6:
15                 return "312211";
16             case 7:
17                 return "13112221";
18             case 8:
19                 return "1113213211";
20             case 9:
21                 return "31131211131221";
22             case 10:
23                 return "13211311123113112211";
24             case 11:
25                 return "11131221133112132113212221";
26             case 12:
27                 return "3113112221232112111312211312113211";
28             case 13:
29                 return "1321132132111213122112311311222113111221131221";
30             case 14:
31                 return "11131221131211131231121113112221121321132132211331222113112211";
32             case 15:
33                 return "311311222113111231131112132112311321322112111312211312111322212311322113212221";
34             case 16:
35                 return "132113213221133112132113311211131221121321131211132221123113112221131112311332111213211322211312113211";
36             case 17:
37                 return "11131221131211132221232112111312212321123113112221121113122113111231133221121321132132211331121321231231121113122113322113111221131221";
38             case 18:
39                 return "31131122211311123113321112131221123113112211121312211213211321322112311311222113311213212322211211131221131211132221232112111312111213111213211231131122212322211331222113112211";
40             case 19:
41                 return "1321132132211331121321231231121113112221121321132122311211131122211211131221131211132221121321132132212321121113121112133221123113112221131112311332111213122112311311123112111331121113122112132113213211121332212311322113212221";
42             case 20:
43                 return "11131221131211132221232112111312111213111213211231132132211211131221131211221321123113213221123113112221131112311332211211131221131211132211121312211231131112311211232221121321132132211331121321231231121113112221121321133112132112312321123113112221121113122113121113123112112322111213211322211312113211";
44             case 21:
45                 return "311311222113111231133211121312211231131112311211133112111312211213211312111322211231131122211311122122111312211213211312111322211213211321322113311213212322211231131122211311123113223112111311222112132113311213211221121332211211131221131211132221232112111312111213111213211231132132211211131221232112111312211213111213122112132113213221123113112221131112311311121321122112132231121113122113322113111221131221";
46             case 22:
47                 return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
48             case 23:
49                 return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
50             case 24:
51                 return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
52             case 25:
53                 return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
54             case 26:
55                 return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
56             case 27:
57                 return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
58             case 28:
59                 return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
60             case 29:
61                 return "11131221131211132221232112111312111213111213211231132132211211131221232112111312211213111213122112132113213221123113112221133112132123222112111312211312112213211231132132211211131221131211132221121311121312211213211312111322211213211321322113311213212322211231131122211311123113223112111311222112132113311213211221121332211211131221131211132221231122212213211321322112311311222113311213212322211211131221131211132221232112111312111213322112131112131221121321131211132221121321132132212321121113121112133221121321132132211331121321231231121113112221121321133112132112211213322112311311222113111231133211121312211231131122211322311311222112111312211311123113322112132113212231121113112221121321132122211322212221121123222112111312211312111322212321121113121112131112132112311321322112111312212321121113122112131112131221121321132132211231131122111213122112311311222113111221131221221321132132211331121321231231121113112221121321133112132112211213322112311311222113111231133211121312211231131122211322311311222112111312211311123113322112132113212231121113112221121321132122211322212221121123222112311311222113111231133211121312211231131112311211133112111312211213211312111322211231131122111213122112311311222112111331121113112221121113122113121113222112132113213221232112111312111213322112311311222113111221221113122112132113121113222112311311222113111221132221231221132221222112112322211211131221131211132221232112111312111213111213211231132132211211131221232112111312211213111213122112132113213221123113112221133112132123222112111312211312111322212321121113121112133221132211131221131211132221232112111312111213322112132113213221133112132113221321123113213221121113122123211211131221222112112322211231131122211311123113321112132132112211131221131211132221121321132132212321121113121112133221123113112221131112311332111213211322111213111213211231131211132211121311222113321132211221121332211213211321322113311213212312311211131122211213211331121321123123211231131122211211131221131112311332211213211321223112111311222112132113213221123123211231132132211231131122211311123113322112111312211312111322111213122112311311123112112322211213211321322113312211223113112221121113122113111231133221121321132132211331121321232221123123211231132132211231131122211331121321232221123113112221131112311332111213122112311311123112112322211211131221131211132221232112111312211322111312211213211312111322211231131122111213122112311311221132211221121332211213211321322113311213212312311211131211131221223113112221131112311332211211131221131211132211121312211231131112311211232221121321132132211331121321231231121113112221121321133112132112211213322112312321123113213221123113112221133112132123222112311311222113111231132231121113112221121321133112132112211213322112311311222113111231133211121312211231131112311211133112111312211213211312111322211231131122111213122112311311221132211221121332211211131221131211132221232112111312111213111213211231132132211211131221232112111312211213111213122112132113213221123113112221133112132123222112111312211312111322212311222122132113213221123113112221133112132123222112311311222113111231133211121321132211121311121321122112133221123113112221131112311332211322111312211312111322212321121113121112133221121321132132211331121321231231121113112221121321132122311211131122211211131221131211322113322112111312211322132113213221123113112221131112311311121321122112132231121113122113322113111221131221";            
62             case 30:
63                 return "3113112221131112311332111213122112311311123112111331121113122112132113121113222112311311221112131221123113112221121113311211131122211211131221131211132221121321132132212321121113121112133221123113112221131112212211131221121321131211132221123113112221131112311332211211133112111311222112111312211311123113322112111312211312111322212321121113121112133221121321132132211331121321132213211231132132211211131221232112111312212221121123222112311311222113111231133211121321321122111312211312111322211213211321322123211211131211121332211231131122211311123113321112131221123113111231121123222112111331121113112221121113122113111231133221121113122113121113221112131221123113111231121123222112111312211312111322212321121113121112131112132112311321322112111312212321121113122122211211232221121321132132211331121321231231121113112221121321132132211322132113213221123113112221133112132123222112111312211312112213211231132132211211131221131211322113321132211221121332211231131122211311123113321112131221123113111231121113311211131221121321131211132221123113112211121312211231131122211211133112111311222112111312211312111322211213211321223112111311222112132113213221133122211311221122111312211312111322212321121113121112131112132112311321322112111312212321121113122122211211232221121321132132211331121321231231121113112221121321132132211322132113213221123113112221133112132123222112111312211312112213211231132132211211131221131211322113321132211221121332211213211321322113311213212312311211131122211213211331121321123123211231131122211211131221131112311332211213211321223112111311222112132113213221123123211231132132211231131122211311123113322112111312211312111322111213122112311311123112112322211213211321322113312211223113112221121113122113111231133221121321132132211331222113321112131122211332113221122112133221123113112221131112311332111213122112311311123112111331121113122112132113121113222112311311221112131221123113112221121113311211131122211211131221131211132221121321132132212321121113121112133221123113112221131112311332111213122112311311123112112322211322311311222113111231133211121312211231131112311211232221121113122113121113222123211211131221132211131221121321131211132221123113112211121312211231131122113221122112133221121321132132211331121321231231121113121113122122311311222113111231133221121113122113121113221112131221123113111231121123222112132113213221133112132123123112111312211322311211133112111312211213211311123113223112111321322123122113222122211211232221121113122113121113222123211211131211121311121321123113213221121113122123211211131221121311121312211213211321322112311311222113311213212322211211131221131211221321123113213221121113122113121113222112131112131221121321131211132221121321132132211331121321232221123113112221131112311322311211131122211213211331121321122112133221121113122113121113222123112221221321132132211231131122211331121321232221121113122113121113222123211211131211121332211213111213122112132113121113222112132113213221232112111312111213322112132113213221133112132123123112111311222112132113311213211221121332211231131122211311123113321112131221123113112221132231131122211211131221131112311332211213211321223112111311222112132113212221132221222112112322211211131221131211132221232112111312111213111213211231131112311311221122132113213221133112132123222112311311222113111231132231121113112221121321133112132112211213322112111312211312111322212321121113121112131112132112311321322112111312212321121113122122211211232221121311121312211213211312111322211213211321322123211211131211121332211213211321322113311213211322132112311321322112111312212321121113122122211211232221121321132132211331121321231231121113112221121321133112132112312321123113112221121113122113111231133221121321132122311211131122211213211321222113222122211211232221123113112221131112311332111213122112311311123112111331121113122112132113121113222112311311221112131221123113112221121113311211131122211211131221131211132221121321132132212321121113121112133221123113112221131112311332111213213211221113122113121113222112132113213221232112111312111213322112132113213221133112132123123112111312211322311211133112111312212221121123222112132113213221133112132123222113223113112221131112311332111213122112311311123112112322211211131221131211132221232112111312111213111213211231132132211211131221131211221321123113213221123113112221131112211322212322211231131122211322111312211312111322211213211321322113311213211331121113122122211211132213211231131122212322211331222113112211";
64         }
65     }
66 }

 


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