多态以及 LeetCode 每日一题

2019-04-25 06:57:19来源:博客园 阅读 ()

新老客户大回馈,云服务器低至5折

1 多态

1.1 多态性

Java 引用变量有两个类型:一个是编译时类型,一个是运行时类型。前者是代码中声明这个变量时的类型,后者是由实际对象的类型决定的。当编译类型和运行类型不一样时,产生多态。

 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         //多态
20         BaseClass nc = new SubClass();
21         System.out.println(nc.book);//输出6,对象的实例变量不具备多态性
22         nc.test();//输出Son's method covers father's ,执行的是SubClass中重写的方法
23         nc.base();//Father loves you,subclass继承的方法
24         //nc.sub();  会报错,因为BaseClass 不具备sub方法
25     }
26 }

这个例子中 nc 的编译时类型是 BaseClass , 运行类型是 SubClass,在调用 nc 的方法时,总是显现除 SubClass 的行为特征。但是注意,实例变量不具有多态性。

可以这么理解,子类对象建立时其实也创建了一个父类类型的对象,若编译时类型是父类,运行时类型是子类,该变量运行子类和父类拥有的共同的方法依然保持子类的特征(依然使用子类重写的方法),无法使用子类独有的方法,而且只能使用父类的实例变量。
引用变量在编译时,只能调用其编译时类型所具有的方法,但运行时则执行它运行时类型所具有的方法;在访问其包含的实例变量时,系统总是访问它编译时类型所定义的成员变量,而不是运行时类型。

1.2 强制转换

引用类型的转换只能发生在具有继承关系的两个类型之间,如果试图把一个父类的实例转换成子类类型时,则这个对象必须实际上是子类实例才行(运行时类型是子类)。子类转换成父类总是可以成功的。但父类转换成子类不一定。

类型转换之前,最好先通过 instanceof 运算符判断。

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

1.3 关于继承和多态的个人理解

1.3.1 继承

在学习继承和多态的过程中,发现了一个现象,当子类声明了一个和父类同名的变量时,子类的实例其实同时拥有了这两个实例变量,只是默认情况下父类的那个变量会被隐藏,接下来用代码测试展示。

 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 }

在这个程序里,父类声明 i 时赋值为 0,子类也声明了一个 i 赋初值为1,子类重写了父类的 print()方法,为表示区分,父类的print()方法加了字符串“i:”。

  1. main 方法中,新建了一个子类对象后,从子类对象调用继承来的 setter 方法改变 i 的值为 2,接着调用子类重写的 print()方法。打印的值依然为 “1”;
  2. 用常规的 println()方法打印 son.i 的值,也是“1”;
  3. 用子类的 getSuper() 方法获得父类的 i 的值,并将其打印,打印的值为 “2”;
  4. 用子类的 superPrint()方法,调用父类的 print()方法,打印值为“i: 2”;

由我之前写的一批文章中可知,当子类重写了父类的方法后,父类的方法其实只是被覆盖了,可以用 super 限定调用,其实实例变量也是一样的。

另外值得提出的是,系统在执行方法时,查找某一变量的顺序:

  1. 查找该方法中是否有名为 a 的局部变量;
  2. 查找当前类中是否包含名为 a 的成员变量;
  3. 查找 a 的直接父类中是否有名为 a 的成员变量,依次上溯到 a 的所有父类,这种查找只会往继承树的上方找。

所以我们可以解释上述程序的现象了。当我们调用 setter 方法时,setter 在其当前类也就是父类中找到了成员变量 i ,于是改变其值为 2;调用 son 的 print()方法时,在其当前类也就是子类找到了 成员变量 i ,所以打印值为 1;用常规方法打印 son.i 时,父类的 i 已经被覆盖,所以打印值也是 1;用 getSuper()方法获得父类的 i 并将其打印发现,其值确实被修改成了 2;用 superPrint()方法调用父类的 print()方法,该方法在当前类找到了变量 i,于是将其打印,结果为:“i: 2”。

在继承的学习中,我们知道,当我们创建一个子类实例时,系统会从继承树的顶端开始,依次往下初始化类,接着创建各个类的实例。根据上文的例子,我的理解是,与其说继承后子类“拥有”了父类的属性和方法,倒不如说是“借用”。当我们由子类实例调用父类的方法或访问父类的成员变量(子类中没有重写的方法\没有再次声明的成员变量),系统在子类下没有找到同名的方法或变量,于是由下往上在其父类中寻找并调用\访问,这就造成了子类“拥有”了父类的成员变量及方法的假象。一旦子类中有同名的成员,父类成员就被覆盖。

1.3.2 多态

利用上面继承所说的“覆盖”的特性,也可以解释一些多态的现象。

 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 }

程序的输出是:

第一条和第二条我们由上文“多态性”中不难理解,总结一句话就是:“方法有多态性,实例变量没有多态性”,寻找变量时系统总是由编译时类型出发,而寻找方法时系统总是由运行时类型出发。而第三条输出结果,我们就可以借由上文所说的“隐藏”特性以及“多态性”一同理解:当 val 调用 printNum()方法时,系统由其运行时类型出发,找到了子类的重写的 printNum()方法,该方法又由当前类(子类)出发寻找变量 i ,于是找到了被隐藏了的值为 2 的变量 i 。

2 LeetCode

38.报数

报数序列是一个整数序列,按照其中的整数的顺序进行报数,得到下一个数。其前五项如下:

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

1 被读作 "one 1" ("一个一") , 即 11
11 被读作 "two 1s" ("两个一"), 即 21
21 被读作 "one 2", "one 1" ("一个二" , "一个一") , 即 1211

给定一个正整数 n(1 ≤ n ≤ 30),输出报数序列的第 n 项。

注意:整数顺序将表示为一个字符串。

示例 1:

输入: 1
输出: "1"

示例 2:

输入: 4
输出: "1211"

题目比较晦涩难懂。。。(外国人的脑洞)反正就是数组第一项是1,之后每一项都是把前一项像报数一样念出来,再将念出来的数变成数字序列。(好像我也没说清楚。。)

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 }

另附评论找到的最快方法(手动滑稽),其实是方便大家理解题意:

 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 "132113213221133112132123123112111311222112132113311213211231232112311311222112111312211311123113322112132113213221133122112231131122211211131221131112311332211211131221131211132221232112111312111213322112132113213221133112132113221321123113213221121113122123211211131221222112112322211231131122211311123113321112131221123113111231121113311211131221121321131211132221123113112211121312211231131122211211133112111311222112111312211312111322211213211321322113311213211331121113122122211211132213211231131122212322211331222113112211";
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 "1113122113121113222123211211131211121311121321123113213221121113122123211211131221121311121312211213211321322112311311222113311213212322211211131221131211221321123113213221121113122113121113222112131112131221121321131211132221121321132132211331121321232221123113112221131112311322311211131122211213211331121321122112133221121113122113121113222123211211131211121311121321123113111231131122112213211321322113311213212322211231131122211311123113223112111311222112132113311213211221121332211231131122211311123113321112131221123113111231121113311211131221121321131211132221123113112211121312211231131122113221122112133221121113122113121113222123211211131211121311121321123113213221121113122113121113222113221113122113121113222112132113213221232112111312111213322112311311222113111221221113122112132113121113222112311311222113111221132221231221132221222112112322211213211321322113311213212312311211131122211213211331121321123123211231131122211211131221131112311332211213211321223112111311222112132113213221123123211231132132211231131122211311123113322112111312211312111322111213122112311311123112112322211213211321322113312211223113112221121113122113111231133221121321132132211331121321232221123123211231132132211231131122211331121321232221123113112221131112311332111213122112311311123112112322211211131221131211132221232112111312111213111213211231132132211211131221131211221321123113213221123113112221131112211322212322211231131122211322111312211312111322211213211321322113311213211331121113122122211211132213211231131122212322211331222113112211";
56             case 27:
57                 return "31131122211311123113321112131221123113111231121113311211131221121321131211132221123113112211121312211231131122211211133112111311222112111312211312111322211213211321322123211211131211121332211231131122211311122122111312211213211312111322211231131122211311123113322112111331121113112221121113122113111231133221121113122113121113222123211211131211121332211213211321322113311213211322132112311321322112111312212321121113122122211211232221123113112221131112311332111213122112311311123112111331121113122112132113311213211321222122111312211312111322212321121113121112133221121321132132211331121321132213211231132132211211131221232112111312212221121123222112132113213221133112132123123112111311222112132113311213211231232112311311222112111312211311123113322112132113212231121113112221121321132122211322212221121123222112311311222113111231133211121312211231131112311211133112111312211213211312111322211231131122211311123113322113223113112221131112311332211211131221131211132211121312211231131112311211232221121321132132211331221122311311222112111312211311123113322112132113213221133122211332111213112221133211322112211213322112111312211312111322212321121113121112131112132112311321322112111312212321121113122112131112131221121321132132211231131122211331121321232221121113122113121122132112311321322112111312211312111322211213111213122112132113121113222112132113213221133112132123222112311311222113111231132231121113112221121321133112132112211213322112111312211312111322212311222122132113213221123113112221133112132123222112111312211312111322212321121113121112133221121311121312211213211312111322211213211321322123211211131211121332211213211321322113311213212312311211131122211213211331121321122112133221123113112221131112311332111213122112311311123112111331121113122112132113121113222112311311222113111221221113122112132113121113222112132113213221133122211332111213322112132113213221132231131122211311123113322112111312211312111322212321121113122123211231131122113221123113221113122112132113213211121332212311322113212221";
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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