fibonacci

Author: laileon

src/com/blankj/csutom/AnagramCheck.java renamed to src/com/blankj/custom/AnagramCheck.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 import java.util.Arrays;
 

src/com/blankj/csutom/BitWiseExample.java renamed to src/com/blankj/custom/BitWiseExample.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 //https://www.mkyong.com/java/java-convert-ip-address-to-decimal-number/
 //https://www.mkyong.com/java/java-and-0xff-example/?utm_source=mkyong&utm_medium=author&utm_campaign=related-post&utm_content=0

src/com/blankj/csutom/CircleNode.java renamed to src/com/blankj/custom/CircleNode.java

@@ -1,7 +1,7 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 
-import com.blankj.csutom.structure.ListNode;
+import com.blankj.custom.structure.ListNode;
 
 public class CircleNode {
 

src/com/blankj/csutom/ClassLoaderTest.java renamed to src/com/blankj/custom/ClassLoaderTest.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 
 //https://www.jianshu.com/p/5f468de3b806

src/com/blankj/csutom/DupInArray.java renamed to src/com/blankj/custom/DupInArray.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 import java.util.ArrayList;
 import java.util.Arrays;

src/com/blankj/csutom/KMP.java renamed to src/com/blankj/custom/KMP.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 import java.util.Arrays;
 

src/com/blankj/csutom/Permutation.java renamed to src/com/blankj/custom/Permutation.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 import java.util.ArrayList;
 import java.util.Arrays;

src/com/blankj/csutom/QuickSort.java renamed to src/com/blankj/custom/QuickSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 public class QuickSort {
     public static void main(String[] args) {

src/com/blankj/csutom/Swap.java renamed to src/com/blankj/custom/Swap.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom;
+package com.blankj.custom;
 
 public class Swap {
     public static void main(String[] args) {

src/com/blankj/csutom/Pipe/PipedStreamTest.java renamed to src/com/blankj/custom/piped/PipedStreamTest.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Pipe;
+package com.blankj.custom.piped;
 
 import java.io.IOException;
 import java.io.PipedInputStream;

src/com/blankj/csutom/Pipe/Receiver.java renamed to src/com/blankj/custom/piped/Receiver.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Pipe;
+package com.blankj.custom.piped;
 
 import java.io.IOException;
 import java.io.PipedInputStream;

src/com/blankj/csutom/Pipe/Sender.java renamed to src/com/blankj/custom/piped/Sender.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Pipe;
+package com.blankj.custom.piped;
 
 import java.io.IOException;
 import java.io.PipedOutputStream;

src/com/blankj/custom/pretest/Fibonacci.java

@@ -0,0 +1,98 @@
+package com.blankj.custom.pretest;
+
+import java.math.BigInteger;
+//1、1、2、3、5、8、13、21
+
+public class Fibonacci {
+    // 1. 递归 复杂度为O(2^n)，即2的n次方
+    static BigInteger fib1(int n) {
+        if (n == 1 || n == 2) {
+            return BigInteger.valueOf(1);
+        } else {
+            return fib1(n - 1).add(fib1(n - 2));
+        }
+    }
+
+    // 2. 循环 O(n)
+    static BigInteger fib2(int n) {
+        BigInteger a = BigInteger.valueOf(0);
+        BigInteger b = BigInteger.valueOf(1);
+        for (int j = 2; j <= n; j++) {
+            BigInteger tmp = a;//将第一个值p赋给tmp
+            a = b;       //将第二个值q赋给p,以后每一次赋值都将得到的最新的F(n)赋给p,从后面语句可//以看出,q储存的为最新的F(n)
+            b = tmp.add(b);
+        }
+        return b;
+    }
+
+    // 3. matrix log(n)
+    /**
+     * 求斐波那契数列<br/>
+     * <pre>
+     * [F(n+1) F(n)]    [1  1 ]^n   (n次方,可以使用归纳法证明)<br/>
+     * |           |   =|     |                     <br/>
+     * [F(n) F(n-1)]    [1  0 ]                     <br/>
+     * </pre>
+     *
+     * @author bing
+     */
+
+
+    // 关联矩阵
+    private static final BigInteger[][] UNIT = {{BigInteger.valueOf(1), BigInteger.valueOf(1)}, {BigInteger.valueOf(1), BigInteger.valueOf(0)}};
+    // 全0矩阵
+    private static final BigInteger[][] ZERO = {{BigInteger.valueOf(0), BigInteger.valueOf(0)}, {BigInteger.valueOf(0), BigInteger.valueOf(0)}};
+
+    /**
+     * 求斐波那契数列
+     *
+     * @param n
+     * @return
+     */
+    public static BigInteger[][] fib3(int n) {
+        if (n == 0) {
+            return ZERO;
+        }
+        if (n == 1) {
+            return UNIT;
+        }
+        // n是奇数
+        if ((n & 1) == 0) {
+            BigInteger[][] matrix = fib3(n >> 1);
+            return matrixMultiply(matrix, matrix);
+        }
+        // n是偶数
+        BigInteger[][] matrix = fib3((n - 1) >> 1);
+        return matrixMultiply(matrixMultiply(matrix, matrix), UNIT);
+    }
+
+    /**
+     * 矩阵相乘
+     *
+     * @param m r1*c1
+     * @param n c1*c2
+     * @return 新矩阵, r1*c2
+     */
+    public static BigInteger[][] matrixMultiply(BigInteger[][] m, BigInteger[][] n) {
+        int rows = m.length;
+        int cols = n[0].length;
+        BigInteger[][] r = new BigInteger[rows][cols];
+        for (int i = 0; i < rows; i++) {
+            for (int j = 0; j < cols; j++) {
+                r[i][j] = BigInteger.valueOf(0);
+                for (int k = 0; k < m[i].length; k++) {
+                    r[i][j] = r[i][j].add(m[i][k].multiply(n[k][j]));
+                }
+            }
+        }
+        return r;
+    }
+
+    public static void main(String[] args) {
+        int n = 81;
+//        System.out.println("Fibonacci of " + n +
+//                "th term" + " " + "is" + " " + fib2(n));
+        BigInteger[][] m = fib3(n);
+        System.out.println(m[0][1]);
+    }
+}

src/com/blankj/csutom/Proxy/dynamicProxy/Client.java renamed to src/com/blankj/custom/proxys/dynamicProxy/Client.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.dynamicProxy;
+package com.blankj.custom.proxys.dynamicProxy;
 
 import java.lang.reflect.InvocationHandler;
 

src/com/blankj/csutom/Proxy/dynamicProxy/DynamicProxy.java renamed to src/com/blankj/custom/proxys/dynamicProxy/DynamicProxy.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.dynamicProxy;
+package com.blankj.custom.proxys.dynamicProxy;
 
 import java.lang.reflect.InvocationHandler;
 import java.lang.reflect.Proxy;

src/com/blankj/csutom/Proxy/dynamicProxy/ISubject.java renamed to src/com/blankj/custom/proxys/dynamicProxy/ISubject.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.dynamicProxy;
+package com.blankj.custom.proxys.dynamicProxy;
 
 //https://www.jianshu.com/p/78fdd12c2c71
 public interface ISubject {

src/com/blankj/csutom/Proxy/dynamicProxy/MyInvocationHandler.java renamed to src/com/blankj/custom/proxys/dynamicProxy/MyInvocationHandler.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.dynamicProxy;
+package com.blankj.custom.proxys.dynamicProxy;
 
 import java.lang.reflect.InvocationHandler;
 import java.lang.reflect.Method;

src/com/blankj/csutom/Proxy/dynamicProxy/RealSubject.java renamed to src/com/blankj/custom/proxys/dynamicProxy/RealSubject.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.dynamicProxy;
+package com.blankj.custom.proxys.dynamicProxy;
 
 public class RealSubject implements ISubject {
     @Override

src/com/blankj/csutom/Proxy/staticProxy/Client.java renamed to src/com/blankj/custom/proxys/staticProxy/Client.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.staticProxy;
+package com.blankj.custom.proxys.staticProxy;
 
 public class Client {
     public static void main(String[] args) {

src/com/blankj/csutom/Proxy/staticProxy/ISubject.java renamed to src/com/blankj/custom/proxys/staticProxy/ISubject.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.staticProxy;
+package com.blankj.custom.proxys.staticProxy;
 
 //https://www.jianshu.com/p/78fdd12c2c71
 public interface ISubject {

src/com/blankj/csutom/Proxy/staticProxy/Proxy.java renamed to src/com/blankj/custom/proxys/staticProxy/Proxy.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.staticProxy;
+package com.blankj.custom.proxys.staticProxy;
 
 public class Proxy implements ISubject {
     private ISubject subject;

src/com/blankj/csutom/Proxy/staticProxy/RealSubject.java renamed to src/com/blankj/custom/proxys/staticProxy/RealSubject.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.Proxy.staticProxy;
+package com.blankj.custom.proxys.staticProxy;
 
 public class RealSubject implements ISubject{
     @Override

src/com/blankj/csutom/sort/BubbleSort.java renamed to src/com/blankj/custom/sort/BubbleSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 /**
  * Created by laileon on 2017/7/20.

src/com/blankj/csutom/sort/InsertionSort.java renamed to src/com/blankj/custom/sort/InsertionSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 /**
  * Created by laileon on 2017/7/20.

src/com/blankj/csutom/sort/MergeSort.java renamed to src/com/blankj/custom/sort/MergeSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 //时间复杂度为O(N log N ), 使用了等长的辅助数组，空间复杂度为O(N)
 //将两个有序对数组归并成一个更大的有序数组。通常做法为递归排序，并将两个不同的有序数组归并到第三个数组中。

src/com/blankj/csutom/sort/QuickSort.java renamed to src/com/blankj/custom/sort/QuickSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 public class QuickSort {
     public static void main(String[] args) {

src/com/blankj/csutom/sort/README renamed to src/com/blankj/custom/sort/README

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 /**
  * Created by laileon on 2017/7/20.

src/com/blankj/csutom/sort/SelectionSort.java renamed to src/com/blankj/custom/sort/SelectionSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 /**
  * Created by laileon on 2017/7/21.

src/com/blankj/csutom/sort/ShellSort.java renamed to src/com/blankj/custom/sort/ShellSort.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 public class Test {
     public static void main(String[] args) {

src/com/blankj/csutom/sort/Test.java renamed to src/com/blankj/custom/sort/Test.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.sort;
+package com.blankj.custom.sort;
 
 /**
  * Created by laileon on 2017/7/20.

src/com/blankj/csutom/sort/Utils.java renamed to src/com/blankj/custom/sort/Utils.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.structure;
+package com.blankj.custom.structure;
 
 /**
  * Created by laileon on 2017/7/20.

src/com/blankj/csutom/structure/DListNode.java renamed to src/com/blankj/custom/structure/DListNode.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.structure;
+package com.blankj.custom.structure;
 
 import java.util.ArrayList;
 

src/com/blankj/csutom/structure/Graph.java renamed to src/com/blankj/custom/structure/Graph.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.structure;
+package com.blankj.custom.structure;
 
 /**
  * Created by laileon on 2017/7/19.

src/com/blankj/csutom/structure/ListNode.java renamed to src/com/blankj/custom/structure/ListNode.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.structure;
+package com.blankj.custom.structure;
 
 import java.util.*;
 

src/com/blankj/csutom/structure/QueueInJava.java renamed to src/com/blankj/custom/structure/QueueInJava.java

@@ -1,4 +1,4 @@
-package com.blankj.csutom.structure;
+package com.blankj.custom.structure;
 
 /**
  * Created by laileon on 2017/7/20.